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CAPITULO XXXI

R a d i c a l e s
Introducción de cantidades bajo el signo radical
Ejercicio 234
Hacer enteros a los radicales:
  1. 2 3 = 2 2 .3 = 4.3 = 12
  2. 3 5 = 3 2 .5 = 9.5 = 45
  3. 5a b = (5a ) 2 b = 25 a 2 b
  4. 1 2 2 = 1 2 2 2 = 1 2
  5. 3a 2 a 2 = (3a ) 2 2 a 2 = 3 2 a 2 2 a 2 = 9.2 a 4 = 18 a 4
  6. 5 x 2 y 3 = 3 (5 x 2 y ) 2 = 3. 5 2 x 4 y 2 = 75 x 4 y 2
  7. a b 2 a 2 b 3 = (a b 2 ) 2 a 2 b 3 = a 2 b 4 a 2 b 3 = a 4 b 5 3
  8. 4m 2 m 2 3 = 2 m 2 (4m ) 2 3 = 2 m 2 4 2 m 2 3 = 2 m 2 16 m 2 3 = 32 m 4 3
  9. 2a 8a b 3 4 = 8a b 3 (2a ) 2 4 = 8a b 3 2 2 a 2 4 = 8a b 3 4 a 2 4 = 32 a 3 b 3 4
  10. (a+b ) a a+b = a a+b (a+b ) 2 = a(a+b ) = a 2 +ab
  11. (x+1 ) 2x x+1 = 2x x+1 (x+1 ) 2 = 2x(x+1 ) = 2 x 2 +2x
  12. (x1 ) x2 x1 = x2 x1 (x1 ) 2 = (x2 ) (x1 ) = x 2 3x+2