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CAPITULO XXXI

R a d i c a l e s
División de radicales del mismo índice
Ejercicio 243
Dividir:
  1. 4 6 ÷ 2 3 4 6 ÷ 2 3 = 2 3 =2 2
  2. 2 3a ÷ 10 a 2 3a ÷ 10 a = 2 3 a a = 1 5 3
  3. 1 2 3xy ÷ 3 4 x 1 2 3xy ÷ 3 4 x = 1 2 3 3 x y x = 2 3 3y
  4. 75 x 2 y 3 ÷ 5 3xy 75 x 2 y 3 ÷ 5 3xy = 1 5 x 2 y 3xy = 1 5 25x y 2 = 1 5 5 y x =y x
  5. 3 16 a 5 3 ÷ 4 2 a 2 3 3 16 a 5 3 ÷ 4 2 a 2 3 = 3 4 a 2 a 2 3 = 3 4 8 a 3 3 = 3 2 a = 3 2 a
  6. 5 6 1 2 ÷ 10 3 2 3 5 6 1 2 ÷ 10 3 2 3 = 5 3 1 2 2 3 = 1 4 3 4 = 1 4 3 2 2 = 1 8 3
  7. 4x a 3 x 2 ÷ 2 a 2 x 3 4x a 3 x 2 ÷ 2 a 2 x 3 = 2 x a 3 x 2 a 2 x 3 =2x a x =2x a x × x x =2x ax x 2 =2 x x ax =2 ax
  8. 2a 3 x 2 3 ÷ a 3 x 2 x 3 3 2a 3 x 2 3 ÷ a 3 x 2 x 3 3 = 2 a 3 a 3 x 2 x 2 x 3 3 =2 x 2 1 x 3 =2 x 2 1 x × x 2 x 2 3 =2 x 2 x 2 x 3 3 =2 x 2 x x 2 3 =2x x 2 3
  9. 1 3 1 2 3 ÷ 1 6 1 3 3 1 3 1 2 3 ÷ 1 6 1 3 3 = 1 3 1 1 2 1 3 3 =2 3 2 3 =2 3 2 × 2 2 2 2 3 =2 12 2 3 3 = 2 2 123 = 123