﻿28:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Conjuntos numéricos: reales y complejos:@0.073089:0.043661:0.435822:0.043661:0.435822:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.078581:0.141152:0.230966:0.141152:0.230966:0.125745:0.078581:0.125745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática :@0.078581:0.156281:0.160597:0.156281:0.160597:0.141341:0.078581:0.141341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y química:@0.078581:0.171410:0.142789:0.171410:0.142789:0.156470:0.078581:0.156470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.1 Definición de exponentes racionales:@0.329027:0.136836:0.641976:0.136836:0.641976:0.119889:0.329027:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.2 Introducción y extracción de factores de un radical:@0.329027:0.287420:0.752379:0.287420:0.752379:0.270473:0.329027:0.270473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.3 Operaciones con radicales:@0.329230:0.487066:0.562424:0.487066:0.562424:0.470119:0.329230:0.470119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Adición de radicales:@0.329230:0.514428:0.487066:0.514428:0.487066:0.497481:0.329230:0.497481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 4:@0.329230:0.538212:0.405601:0.538212:0.405601:0.521542:0.329230:0.521542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a. Sumar::@0.336559:0.578558:0.406578:0.578558:0.406578:0.561889:0.336559:0.561889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    :@0.336559:0.601122:0.352684:0.601122:0.352684:0.584688:0.336559:0.584688:0.000000:0.000000:0.000000:0.000000
Como son :@0.635454:0.569419:0.715084:0.569419:0.715084:0.552985:0.635454:0.552985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radicales semejantes, :@0.715082:0.569419:0.873381:0.569419:0.873381:0.552985:0.715082:0.552985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicamos la propiedad distributiva: :@0.635453:0.586061:0.900072:0.586061:0.900072:0.569627:0.635453:0.569627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.802793:0.610267:0.805996:0.610267:0.805996:0.593834:0.802793:0.593834:0.000000
b. Sumar: :@0.336559:0.652235:0.411640:0.652235:0.411640:0.635566:0.336559:0.635566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     :@0.336559:0.675187:0.355150:0.675187:0.355150:0.658004:0.336559:0.658004:0.000000:0.000000:0.000000:0.000000:0.000000
Agrupamos los :@0.635454:0.634963:0.749966:0.634963:0.749966:0.618529:0.635454:0.618529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos de acuerdo :@0.749964:0.634963:0.906811:0.634963:0.906811:0.618529:0.749964:0.618529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con los radicales semejantes y :@0.635453:0.651605:0.859373:0.651605:0.859373:0.635171:0.635453:0.635171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumamos: :@0.635453:0.668247:0.714493:0.668247:0.714493:0.651813:0.635453:0.651813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.868055:0.692453:0.871258:0.692453:0.871258:0.676019:0.868055:0.676019:0.000000
c. Sumar:  :@0.336559:0.727236:0.413575:0.727236:0.413575:0.710566:0.336559:0.710566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     :@0.336559:0.755222:0.345800:0.755222:0.345800:0.738039:0.336559:0.738039:0.000000:0.000000:0.000000:0.000000:0.000000
Por extracción :@0.635454:0.717150:0.743965:0.717150:0.743965:0.700716:0.635454:0.700716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de factores, :@0.743963:0.717150:0.831948:0.717150:0.831948:0.700716:0.743963:0.700716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
transformamos a radicales semejantes::@0.635453:0.733791:0.917612:0.733791:0.917612:0.717358:0.635453:0.717358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.4 Multiplicación de radicales:@0.329235:0.820031:0.566705:0.820031:0.566705:0.803084:0.329235:0.803084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 5:@0.329235:0.850969:0.405606:0.850969:0.405606:0.834299:0.329235:0.834299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Multiplicar  :@0.329235:0.874753:0.414810:0.874753:0.414810:0.858319:0.329235:0.858319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.505173:0.874758:0.508376:0.874758:0.508376:0.858324:0.505173:0.858324:0.000000
Transformamos a índice común obteniendo el m.c.m. de los índices: m.c.m. (3, 4, 6) = 12:@0.329235:0.898547:0.922867:0.898547:0.922867:0.882113:0.329235:0.882113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.479764:0.918763:0.484108:0.918763:0.484108:0.901816:0.479764:0.901816:0.000000
Para cualquier exponente racional :@0.342699:0.178278:0.602158:0.178278:0.602158:0.161844:0.342699:0.161844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.624171:0.178964:0.637245:0.178964:0.637245:0.163407:0.624171:0.163407:0.000000
≠:@0.673242:0.178964:0.683310:0.178964:0.683310:0.163407:0.673242:0.163407:0.000000
m:@0.605100:0.169652:0.619660:0.169652:0.619660:0.153308:0.605100:0.153308:0.000000
n:@0.607956:0.189086:0.617418:0.189086:0.617418:0.172742:0.607956:0.172742:0.000000
n0  expresado en su forma más :@0.662421:0.178614:0.919051:0.178278:0.919051:0.161844:0.662421:0.162243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.656050:0.180470:0.659241:0.180470:0.659241:0.164098:0.656050:0.164098:0.000000
simplificada, donde   y   son números enteros y   > 0, se define :@0.339354:0.199705:0.817793:0.199705:0.817793:0.183271:0.339354:0.183271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m n:@0.486777:0.199705:0.527052:0.199705:0.527052:0.183298:0.486777:0.183298:0.000000:0.000000:0.000000
n:@0.702545:0.199705:0.712043:0.199705:0.712043:0.183298:0.702545:0.183298:0.000000
=:@0.851723:0.201089:0.861828:0.201089:0.861828:0.185473:0.851723:0.185473:0.000000
a:@0.817780:0.200409:0.827039:0.200409:0.827039:0.184003:0.817780:0.184003:0.000000
a:@0.877972:0.200409:0.887230:0.200409:0.887230:0.184003:0.877972:0.184003:0.000000
mn:@0.827611:0.192724:0.846973:0.192724:0.846973:0.183215:0.827611:0.183215:0.000000:0.000000
m:@0.887820:0.192724:0.896291:0.192724:0.896291:0.183215:0.887820:0.183215:0.000000
n:@0.867093:0.192852:0.872597:0.192852:0.872597:0.183344:0.867093:0.183344:0.000000
/:@0.836871:0.192724:0.840615:0.192724:0.840615:0.183199:0.836871:0.183199:0.000000
. :@0.906474:0.199711:0.913708:0.199711:0.913708:0.183277:0.906474:0.183277:0.000000:0.000000
Las leyes con exponentes enteros también se cumplen para los exponentes :@0.339347:0.223495:0.919082:0.223495:0.919082:0.207061:0.339347:0.207061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racionales.:@0.339347:0.240137:0.415901:0.240137:0.415901:0.223703:0.339347:0.223703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Introducción:@0.329223:0.313139:0.430192:0.313139:0.430192:0.296192:0.329223:0.296192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para introducir factores en un radical, se  Para extraer factores de un radical, se :@0.329223:0.333359:0.931008:0.333362:0.931008:0.316929:0.329223:0.316925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elevan los factores al índice de la raíz.:@0.329223:0.350000:0.597812:0.350000:0.597812:0.333567:0.329223:0.333567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.329223:0.373784:0.405595:0.373784:0.405595:0.357115:0.329223:0.357115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a. :@0.329235:0.399394:0.345672:0.399394:0.345672:0.382724:0.329235:0.382724:0.000000:0.000000:0.000000
 :@0.535066:0.399394:0.538785:0.399394:0.538785:0.382211:0.535066:0.382211:0.000000
b. :@0.329235:0.424256:0.346832:0.424256:0.346832:0.407586:0.329235:0.407586:0.000000:0.000000:0.000000
Extracción:@0.638113:0.313143:0.720440:0.313143:0.720440:0.296196:0.638113:0.296196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.720431:0.313143:0.724241:0.313143:0.724241:0.296196:0.720431:0.296196:0.000000
descompone el radicando en factores. :@0.638113:0.350004:0.931015:0.350004:0.931015:0.333570:0.638113:0.333570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Luego, se extraen aquellos factores que :@0.638113:0.366646:0.930846:0.366646:0.930846:0.350212:0.638113:0.350212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienen raíz exacta.:@0.638113:0.383288:0.767859:0.383288:0.767859:0.366854:0.638113:0.366854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 3:@0.638113:0.407072:0.714485:0.407072:0.714485:0.390402:0.638113:0.390402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.078581:0.599891:0.177272:0.599891:0.177272:0.584485:0.078581:0.584485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.615020:0.167195:0.615020:0.167195:0.599614:0.078581:0.599614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.207447:0.639984:0.211112:0.639984:0.211112:0.625045:0.207447:0.625045:0.000000
 :@0.216316:0.655113:0.219981:0.655113:0.219981:0.640174:0.216316:0.640174:0.000000
•  Para sumar o restar :@0.081390:0.640191:0.222378:0.640191:0.222378:0.625251:0.081390:0.625251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radicales, es necesario :@0.095620:0.655320:0.242075:0.655320:0.242075:0.640380:0.095620:0.640380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que sean radicales :@0.095620:0.670449:0.218865:0.670449:0.218865:0.655509:0.095620:0.655509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
semejantes, es decir, :@0.095620:0.685578:0.231380:0.685578:0.231380:0.670638:0.095620:0.670638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que tengan la misma :@0.095620:0.700707:0.237053:0.700707:0.237053:0.685767:0.095620:0.685767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cantidad subradical y el :@0.095620:0.715836:0.252065:0.715836:0.252065:0.700896:0.095620:0.700896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mismo índice.:@0.095620:0.730965:0.186719:0.730965:0.186719:0.716025:0.095620:0.716025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Para multiplicar varios :@0.081390:0.749668:0.240902:0.749668:0.240902:0.734728:0.081390:0.734728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radicales que tienen :@0.095620:0.764797:0.230443:0.764797:0.230443:0.749857:0.095620:0.749857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el mismo índice, :@0.095620:0.779926:0.205210:0.779926:0.205210:0.764986:0.095620:0.764986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicamos la propiedad :@0.095620:0.795055:0.251580:0.795055:0.251580:0.780115:0.095620:0.780115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los radicales. Si :@0.095620:0.810184:0.215100:0.810184:0.215100:0.795244:0.095620:0.795244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los radicales tienen :@0.095620:0.825313:0.223064:0.825313:0.223064:0.810373:0.095620:0.810373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferente índice, los :@0.095620:0.840442:0.225222:0.840442:0.225222:0.825502:0.095620:0.825502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reducimos a un índice :@0.095620:0.855571:0.243698:0.855571:0.243698:0.840631:0.095620:0.840631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
común.:@0.095620:0.870700:0.145621:0.870700:0.145621:0.855760:0.095620:0.855760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En los gases, la ecuación :@0.084157:0.206456:0.245990:0.206456:0.245990:0.191516:0.084157:0.191516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la velocidad del :@0.084157:0.221585:0.212723:0.221585:0.212723:0.206645:0.084157:0.206645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sonido es :@0.084157:0.247972:0.151124:0.247972:0.151124:0.233032:0.084157:0.233032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.222690:0.247976:0.226355:0.247976:0.226355:0.233036:0.222690:0.233036:0.000000
donde  es el coeficiente :@0.084157:0.277400:0.252483:0.277400:0.252483:0.262461:0.084157:0.262461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g :@0.131012:0.276896:0.144332:0.276896:0.144332:0.264427:0.131012:0.264427:0.000000:0.000000
de dilatación adiabática,  :@0.084157:0.292529:0.248299:0.292529:0.248299:0.277590:0.084157:0.277590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.084157:0.307658:0.092290:0.307658:0.092290:0.292744:0.084157:0.292744:0.000000
 la constante universal :@0.092122:0.307658:0.239983:0.307658:0.239983:0.292719:0.092122:0.292719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los gases,   la :@0.084157:0.322787:0.194098:0.322787:0.194098:0.307847:0.084157:0.307847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T:@0.168747:0.322787:0.176126:0.322787:0.176126:0.307873:0.168747:0.307873:0.000000
temperatura en kelvin, y :@0.084157:0.337916:0.244651:0.337916:0.244651:0.322976:0.084157:0.322976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M:@0.084157:0.353045:0.096774:0.353045:0.096774:0.338131:0.084157:0.338131:0.000000
 la masa molar del gas. :@0.096607:0.353045:0.246325:0.353045:0.246325:0.338105:0.096607:0.338105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde::@0.084157:0.375323:0.157518:0.375323:0.157518:0.360168:0.084157:0.360168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ¿qué :@0.157518:0.375323:0.197295:0.375323:0.197295:0.360383:0.157518:0.360383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedad de los radicales :@0.084157:0.390451:0.245639:0.390451:0.245639:0.375512:0.084157:0.375512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se puede aplicar en esta :@0.084157:0.405580:0.244534:0.405580:0.244534:0.390641:0.084157:0.390641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación? :@0.084157:0.420709:0.153753:0.420709:0.153753:0.405770:0.084157:0.405770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000