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CAPITULO XXXI

R a d i c a l e s
Multiplicación de radicales compuestos
Ejercicio 241
Multiplicar:
  1. 2 3 por 2 ( 2 3 )2 = 2 2 6 =2 6
  2. 7 5 +5 3 por2 3 (7 5 +5 3 ) 2 3 =14 15 +10 3 2 =14 15 +10( 3 ) =30+14 15
  3. 2 3 + 5 5 2 por4 15 (2 3 + 5 5 2 ) 4 15 =8 45 +4 75 20 30 =8 3 2 .5 +4 5 2 .3 20 30 =24 5 +20 3 20 30 =4(6 5 +5 3 5 30 )
  4. 2 3 por 2 +2 3 2 3 2 +2 3 2 2 6 2 6 2 3 2 2+ 6 6 = 6 4
  5. 5 +5 3 por2 5 +3 3 5 +5 3 2 5 +3 3 2 5 2 +10 15 3 15 +15 3 2 10+13 15 +45 =55+13 15
  6. 3 7 2 3 por5 3 +4 7 3 7 2 3 4 7 +5 3 12 7 2 8 21 15 21 10 3 2 84+7 21 30 =54+7 21
  7. a 2 x por3 a + x a 2 x 3 a + x 3 a 2 6 ax ax 2 x 2 3a5 ax 2x
  8. 7 5 11 7 por5 5 8 7 7 5 11 7 5 5 8 7 35 5 2 55 35 56 35 +88 7 2 175111 35 +616 791111 35
  9. 2 + 3 + 5 por 2 3 2 + 3 + 5 2 3 2 2 + 6 + 10 6 3 2 15 23+ 10 15 1+ 10 15
  10. 2 3 3 + 5 por 2 +2 3 5 2 3 3 + 5 2 +2 3 5 2 2 3 6 + 10 2 6 6 3 2 +2 15 10 +3 15 5 2 2 6 18+5 15 5 21 6 +5 15
  11. 2 3 6 + 5 por 3 + 6 +3 5 2 3 6 + 5 3 + 6 +3 5 2 3 2 18 + 15 2 18 6 2 + 30 6 15 3 30 +3 5 2 6 + 18 6 +7 15 2 30 +15 3 2 +7 15 2 30 +15
  12. a + a+1 por a +2 a+1 a + a+1 a +2 a+1 a 2 + a(a+1 ) 2 a(a+1 ) +2 (a+1 ) 2 a+3 a(a+1 ) +2(a+1 ) a+3 a(a+1 ) +2a+2 3a+3 a(a+1 ) +2
  13. 2 a 3 ab por3 a + ab 2 a 3 ab 3 a + ab 6 a 2 9 a(ab ) 2 a(ab ) 3 (ab ) 2 6a7 a(ab ) 3(ab ) 6a7 a(ab ) 3a+3b 3a7 a(ab ) +3b
  14. 1 x 2 +xpor2x+ 1 x 2 1 x 2 +x 2x+ 1 x 2 2x 1 x 2 +2 x 2 (1 x 2 ) 2 +x 1 x 2 1 x 2 +3x 1 x 2 +2 x 2 x 2 +3x 1 x 2 +1
  15. a+1 + a1 por a+1 +2 a1 a+1 + a1 a+1 +2 a1 (a+1 ) 2 + a 2 1 2 a 2 1 +2 (a1 ) 2 a+1+3 a 2 1 +2(a1 ) a+1+3 a 2 1 +2a2 3a+3 a 2 1 1
  16. 2 x+2 2por x+2 3 2 x+2 2 x+2 3 2 (x+2 ) 2 2 x+2 6 x+2 +6 2(x+2 ) 8 x+2 +6 2x+48 x+2 +6 2x8 x+2 +10
  17. 3 a 2 a+x por2 a +3 a+x 3 a 2 a+x 2 a +3 a+x 6 a 2 4 a(a+x ) 9 a(a+x ) 6 (a+x ) 2 6a+5 a(a+x ) 6(a+x ) 6a +5 a(a+x ) 6a 6x 5 a(a+x ) 6x
  18. a+x ax por a+x 2 ax a+x ax a+x 2 ax (a+x ) 2 a 2 x 2 2 a 2 x 2 +2 (ax ) 2 a+x3 a 2 x 2 +2(ax ) a+x3 a 2 x 2 +2a2x 3ax3 a 2 x 2