﻿56:@0.057273:0.966074:0.076087:0.966074:0.076087:0.949450:0.057273:0.949450:0.000000:0.000000
Tema 2:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Radicación de números reales:@0.305293:0.083059:0.692288:0.083059:0.692288:0.055403:0.305293:0.055403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como hemos visto en temas anteriores, la radicación es la operación inversa a :@0.305303:0.210570:0.907730:0.210570:0.907730:0.194901:0.305303:0.194901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la potenciación, que consiste en que dados dos números, llamados radicando e :@0.305303:0.227167:0.907682:0.227167:0.907682:0.211497:0.305303:0.211497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
índice, se pretende hallar un tercer número, llamado raíz, tal que, elevado al índice, :@0.305303:0.243763:0.907666:0.243763:0.907666:0.228093:0.305303:0.228093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sea igual al radicando.:@0.305303:0.260359:0.466635:0.260359:0.466635:0.244690:0.305303:0.244690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analicemos el siguiente problema::@0.305303:0.284078:0.558569:0.284078:0.558569:0.268409:0.305303:0.268409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fabricio instalará focos reflectores en un panel para un espectáculo artístico. :@0.305303:0.307797:0.907647:0.307797:0.907647:0.292128:0.305303:0.292128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los focos están por llegar, pero él debe adelantar el trabajo. Conoce que los :@0.305303:0.324394:0.907647:0.324394:0.907647:0.308724:0.305303:0.308724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reflectores son cilíndricos, que su volumen es 6 031,86 :@0.305303:0.340990:0.728455:0.340990:0.728455:0.325320:0.305303:0.325320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.731256:0.340990:0.753554:0.340990:0.753554:0.324629:0.731256:0.324629:0.000000:0.000000
³ y que su altura es :@0.753554:0.340990:0.907756:0.340990:0.907756:0.325320:0.753554:0.325320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.903649:0.340990:0.907684:0.340990:0.907684:0.325320:0.903649:0.325320:0.000000
30 :@0.305303:0.357586:0.327324:0.357586:0.327324:0.341917:0.305303:0.341917:0.000000:0.000000:0.000000
cm:@0.329093:0.357586:0.351391:0.357586:0.351391:0.341225:0.329093:0.341225:0.000000:0.000000
. ¿Qué medida debe tener el radio de los orificios que Fabricio hará en el :@0.351391:0.357586:0.907758:0.357586:0.907758:0.341917:0.351391:0.341917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
panel? :@0.305303:0.374183:0.357619:0.374183:0.357619:0.358513:0.305303:0.358513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es necesario conocer la forma de los reflectores.:@0.305303:0.397902:0.654815:0.397902:0.654815:0.382232:0.305303:0.382232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esquematicemos el foco reflector de acuerdo con el dato de :@0.460593:0.421621:0.907684:0.421621:0.907684:0.405951:0.460593:0.405951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la forma. Ubiquemos en el gráfico los datos numéricos y la :@0.460593:0.438217:0.907627:0.438217:0.907627:0.422547:0.460593:0.422547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incógnita del problema, que es el radio.:@0.460593:0.454814:0.749699:0.454814:0.749699:0.439144:0.460593:0.439144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recordamos que la fórmula del volumen de un cilindro es :@0.460593:0.502265:0.907664:0.502265:0.907664:0.486596:0.460593:0.486596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.488753:0.524587:0.498869:0.524587:0.503434:0.509015:0.493318:0.509015:0.000000
=:@0.476982:0.524587:0.487099:0.524587:0.487099:0.509015:0.476982:0.509015:0.000000
V:@0.462424:0.523910:0.471546:0.523910:0.471546:0.507549:0.462424:0.507549:0.000000
r h:@0.502265:0.523910:0.524445:0.523910:0.524445:0.507549:0.502265:0.507549:0.000000:0.000000:0.000000
2:@0.509073:0.516248:0.514284:0.516248:0.514284:0.507166:0.509073:0.507166:0.000000
, y reemplazamos en ella los datos.:@0.527606:0.523910:0.779506:0.523910:0.779506:0.508240:0.527606:0.508240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.575407:0.553922:0.579443:0.553922:0.579443:0.538252:0.575407:0.538252:0.000000
π:@0.694807:0.549569:0.704924:0.549569:0.709489:0.533996:0.699372:0.533996:0.000000
=⋅ ⋅:@0.683036:0.549569:0.736900:0.549569:0.736900:0.533996:0.683036:0.533996:0.000000:0.000000:0.000000:0.000000
cm:@0.651046:0.548891:0.672956:0.548891:0.672956:0.532530:0.651046:0.532530:0.000000:0.000000
r:@0.716750:0.548891:0.722039:0.548891:0.722039:0.532530:0.716750:0.532530:0.000000
cm:@0.763612:0.548891:0.785514:0.548891:0.785514:0.532530:0.763612:0.532530:0.000000:0.000000
6 031,86:@0.582423:0.548891:0.643499:0.548891:0.643499:0.533221:0.582423:0.533221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.738272:0.548891:0.756055:0.548891:0.756055:0.533221:0.738272:0.533221:0.000000:0.000000
3:@0.673194:0.541229:0.678406:0.541229:0.678406:0.532147:0.673194:0.532147:0.000000
2:@0.723559:0.541229:0.728771:0.541229:0.728771:0.532147:0.723559:0.532147:0.000000
La incógnita r debe ser despejada. Para ello aplicamos la propiedad llamada de :@0.305303:0.577644:0.907668:0.577644:0.907668:0.561975:0.305303:0.561975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
uniformidad, que permite dividir los dos miembros de la igualdad por un mismo :@0.305303:0.594241:0.907662:0.594241:0.907662:0.578571:0.305303:0.578571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número, esto es::@0.305303:0.610837:0.425192:0.610837:0.425192:0.595167:0.305303:0.595167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.322832:0.668400:0.332949:0.668400:0.337514:0.652827:0.327397:0.652827:0.000000
π:@0.425807:0.648873:0.435924:0.648873:0.440489:0.633300:0.430372:0.633300:0.000000
π:@0.436644:0.668400:0.446761:0.668400:0.451326:0.652827:0.441209:0.652827:0.000000
⋅:@0.338232:0.668400:0.342839:0.668400:0.342839:0.652827:0.338232:0.652827:0.000000
=:@0.412152:0.657870:0.422268:0.657870:0.422268:0.642297:0.412152:0.642297:0.000000
⋅⋅:@0.441212:0.648867:0.467435:0.648867:0.467435:0.633294:0.441212:0.633294:0.000000:0.000000
⋅:@0.452042:0.668400:0.456649:0.668400:0.456649:0.652827:0.452042:0.652827:0.000000
cm:@0.378123:0.648195:0.400033:0.648195:0.400033:0.631834:0.378123:0.631834:0.000000:0.000000
cm:@0.369485:0.667722:0.391395:0.667722:0.391395:0.651361:0.369485:0.651361:0.000000:0.000000
r:@0.447323:0.648194:0.452612:0.648194:0.452612:0.631833:0.447323:0.631833:0.000000
cm:@0.494074:0.648194:0.515990:0.648195:0.515990:0.631834:0.494074:0.631833:0.000000:0.000000
cm:@0.483297:0.667722:0.505208:0.667722:0.505208:0.651361:0.483297:0.651361:0.000000:0.000000
6 031,86:@0.308915:0.648195:0.370426:0.648195:0.370426:0.632525:0.308915:0.632525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.343990:0.667722:0.361772:0.667722:0.361772:0.652053:0.343990:0.652053:0.000000:0.000000
30:@0.468585:0.648195:0.486368:0.648195:0.486368:0.632525:0.468585:0.632525:0.000000:0.000000
30:@0.457802:0.667722:0.475585:0.667722:0.475585:0.652053:0.457802:0.652053:0.000000:0.000000
3:@0.400268:0.640534:0.405479:0.640534:0.405479:0.631453:0.400268:0.631453:0.000000
2:@0.454136:0.640534:0.459347:0.640534:0.459347:0.631453:0.454136:0.631453:0.000000
; simplificando, tenemos::@0.533136:0.658450:0.714554:0.658450:0.714554:0.642780:0.533136:0.642780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.337857:0.716980:0.347974:0.716980:0.352539:0.701407:0.342422:0.701407:0.000000
⋅:@0.353466:0.716980:0.358073:0.716980:0.358073:0.701407:0.353466:0.701407:0.000000
=:@0.412046:0.706490:0.422163:0.706490:0.422163:0.690917:0.412046:0.690917:0.000000
cm:@0.378379:0.696850:0.400289:0.696850:0.400289:0.680489:0.378379:0.680489:0.000000:0.000000
r:@0.425812:0.705812:0.431100:0.705812:0.431100:0.689451:0.425812:0.689451:0.000000
6 031,86:@0.309754:0.696850:0.370824:0.696850:0.370824:0.681181:0.309754:0.681181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.359434:0.716302:0.377216:0.716302:0.377216:0.700632:0.359434:0.700632:0.000000:0.000000
2:@0.400529:0.689192:0.405741:0.689192:0.405741:0.680110:0.400529:0.680110:0.000000
2:@0.432621:0.698153:0.437833:0.698153:0.437833:0.689071:0.432621:0.689071:0.000000
La misma propiedad de uniformidad nos permite extraer la raíz cuadrada de los :@0.305303:0.743367:0.907721:0.743367:0.907721:0.727697:0.305303:0.727697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos miembros de la igualdad.:@0.305303:0.759963:0.521787:0.759963:0.521787:0.744293:0.305303:0.744293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.350370:0.808686:0.360486:0.808686:0.365051:0.793113:0.354934:0.793113:0.000000
⋅:@0.365977:0.808686:0.370584:0.808686:0.370584:0.793113:0.365977:0.793113:0.000000
=:@0.426024:0.798195:0.436141:0.798195:0.436141:0.782622:0.426024:0.782622:0.000000
cm:@0.390901:0.788555:0.412812:0.788555:0.412812:0.772194:0.390901:0.772194:0.000000:0.000000
r:@0.452302:0.797517:0.457591:0.797517:0.457591:0.781156:0.452302:0.781156:0.000000
6 031,86:@0.322258:0.788555:0.383328:0.788555:0.383328:0.772886:0.322258:0.772886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.371921:0.808001:0.389703:0.808001:0.389703:0.792331:0.371921:0.792331:0.000000:0.000000
2:@0.413041:0.780898:0.418253:0.780898:0.418253:0.771817:0.413041:0.771817:0.000000
2:@0.459113:0.789859:0.464325:0.789859:0.464325:0.780778:0.459113:0.780778:0.000000
Con la calculadora determinamos el valor de la raíz del primer miembro de la :@0.305303:0.836330:0.907625:0.836330:0.907625:0.820660:0.305303:0.820660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igualdad y en el segundo miembro aplicamos la propiedad raíz de una potencia.:@0.305303:0.852927:0.894943:0.852927:0.894943:0.837257:0.305303:0.837257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tenemos: 8:@0.305303:0.876646:0.388412:0.876646:0.388412:0.860976:0.305303:0.860976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cm = r:@0.388412:0.876646:0.436932:0.876646:0.436932:0.860284:0.388412:0.860284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que es lo mismo que: :@0.436932:0.876646:0.602007:0.876646:0.602007:0.860976:0.436932:0.860976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r =  cm:@0.602007:0.876646:0.660238:0.876646:0.660238:0.860284:0.602007:0.860284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8 :@0.624912:0.876646:0.637940:0.876646:0.637940:0.860976:0.624912:0.860976:0.000000:0.000000
. :@0.660238:0.876646:0.667480:0.876646:0.667480:0.860976:0.660238:0.860976:0.000000:0.000000
Shutterstock, 604559336.:@0.090398:0.290299:0.090398:0.215021:0.079010:0.215021:0.079010:0.290299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 704836948.:@0.092438:0.862905:0.092438:0.787626:0.081050:0.787626:0.081050:0.862905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Por qué la raíz cúbica de –512 es –8?:@0.313401:0.163701:0.587586:0.163701:0.587586:0.148031:0.313401:0.148031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.346606:0.137380:0.524361:0.137380:0.524361:0.120480:0.346606:0.120480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.374710:0.545887:0.377282:0.545887:0.377282:0.539178:0.374710:0.539178:0.000000
30 :@0.414970:0.466004:0.423732:0.466004:0.423732:0.459324:0.414970:0.459324:0.000000:0.000000:0.000000
cm:@0.423732:0.466068:0.432617:0.466068:0.432617:0.459359:0.423732:0.459359:0.000000:0.000000
V:@0.339100:0.467535:0.343551:0.467535:0.343551:0.460826:0.339100:0.460826:0.000000
 = 6 031,86 :@0.343551:0.467472:0.377212:0.467472:0.377212:0.460792:0.343551:0.460792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.377212:0.467535:0.386098:0.467535:0.386098:0.460826:0.377212:0.460826:0.000000:0.000000
3:@0.386097:0.464898:0.388175:0.464898:0.388175:0.461003:0.386097:0.461003:0.000000
A través de los :@0.106105:0.396534:0.203637:0.396534:0.203637:0.382289:0.106105:0.382289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
espectáculos artísticos, :@0.106105:0.411621:0.258803:0.411621:0.258803:0.397376:0.106105:0.397376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los miembros de una :@0.106105:0.426709:0.247428:0.426709:0.247428:0.412464:0.106105:0.412464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sociedad se entretienen :@0.106105:0.441797:0.265939:0.441797:0.265939:0.427551:0.106105:0.427551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y enriquecen los :@0.106105:0.456884:0.217022:0.456884:0.217022:0.442639:0.106105:0.442639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elementos en su cultura. :@0.106105:0.471972:0.269491:0.471972:0.269491:0.457727:0.106105:0.457727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En algunas ciudades :@0.106105:0.494188:0.245971:0.494188:0.245971:0.479943:0.106105:0.479943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se fijan fechas :@0.106105:0.509276:0.202329:0.509276:0.202329:0.495031:0.106105:0.495031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
especiales para ofrecer :@0.106105:0.524364:0.261482:0.524364:0.261482:0.510118:0.106105:0.510118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
espectáculos que :@0.106105:0.539451:0.226804:0.539451:0.226804:0.525206:0.106105:0.525206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resaltan las artes y :@0.106105:0.554539:0.230037:0.554539:0.230037:0.540294:0.106105:0.540294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la cultura. En Quito, :@0.106105:0.569626:0.238414:0.569626:0.238414:0.555381:0.106105:0.555381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucede en el mes de :@0.106105:0.584714:0.246540:0.584714:0.246540:0.570469:0.106105:0.570469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agosto.:@0.106105:0.599802:0.154586:0.599802:0.154586:0.585557:0.106105:0.585557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las personas dedicadas :@0.106105:0.622018:0.266677:0.622018:0.266677:0.607773:0.106105:0.607773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a los espectáculos :@0.106105:0.637106:0.230691:0.637106:0.230691:0.622861:0.106105:0.622861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
deben cuidar de :@0.106105:0.652193:0.219468:0.652193:0.219468:0.637948:0.106105:0.637948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la escenografía, el :@0.106105:0.667281:0.227742:0.667281:0.227742:0.653036:0.106105:0.653036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vestuario, la iluminación, :@0.106105:0.682369:0.270979:0.682369:0.270979:0.668123:0.106105:0.668123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la decoración y el :@0.106105:0.697456:0.223673:0.697456:0.223673:0.683211:0.106105:0.683211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sonido, entre otros :@0.106105:0.712544:0.234561:0.712544:0.234561:0.698299:0.106105:0.698299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aspectos.:@0.106105:0.727632:0.167953:0.727632:0.167953:0.713386:0.106105:0.713386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interculturalidad:@0.136439:0.370772:0.266163:0.370772:0.266163:0.352471:0.136439:0.352471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.35. :@0.096359:0.942079:0.144696:0.942079:0.144696:0.931324:0.096359:0.931324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular raíces cuadradas de números reales no negativos y raíces cúbicas de números reales, aplicando las propiedades en  .:@0.144696:0.942079:0.730708:0.942079:0.730708:0.932107:0.144696:0.932107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.720201:0.942448:0.728667:0.942448:0.728667:0.931244:0.720201:0.931244:0.000000
Baile sobre zancos por el día :@0.106735:0.894337:0.259944:0.894337:0.259944:0.882941:0.106735:0.882941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los inocentes en Cuenca:@0.106735:0.906407:0.253659:0.906407:0.253659:0.895011:0.106735:0.895011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Porque sí existen raíces impares de números negativos y en este caso corresponde a −8.:@0.324957:0.172518:0.734529:0.172518:0.734529:0.162546:0.324957:0.162546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000