Ejercicio 233

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CAPITULO XXXI

R a d i c a l e s
Simplificación de radicales
Ejercicio 233
Simplificar:
  1. 94 = 3 2 4 = 3 2 = 3 1 2 = 3
  2. 46 = 2 2 6 = 2 2 = 2 1 3 = 23
  3. 279 = 3 3 9 = 3 3 = 3 1 3 = 33
  4. 168 = 2 4 8 = 2 4 = 2 1 2 = 2
  5. 3 6412 =3 2 6 12 =3( 2 6 ) =3( 2 1 2 ) =3 2
  6. 25 a 2 b 2 4 = 5 2 (ab ) 2 4 = (5ab ) 2 4 = (5ab ) 2 = (5ab ) 1 2 = 5ab
  7. 5 49 a 2 b 4 6 =5 7 2 a 2 b 4 6 =5 (7a ) 2 b 4 6 =5 (7a ) 2 b =5 (7a ) 1 3 b 2 3 =5 7a 3 . b 2 3 =5 7a b 2 3
  8. 81 x 4 y 8 8 = 3 4 x 4 y 8 8 = (3x ) 4 y 8 8 = (3x ) 4 y 8 8 = (3x ) 1 2 y=y 3x
  9. 32 x 10 y 15 10 = 2 5 x 10 y 15 10 = 2 5 x 10 10 y = 2 1 2 x y 3 2 = 2 x y 3 =x 2 y 3 =x 2 y 2 y =xy 2y
  10. 64 m 6 n 18 12 = 2 6 m 6 n 18 12 = 2 6 m 6 n = 2 1 2 m 1 2 n 3 2 = 2 m n 3 = 2m n 2 n =n 2m n =n 2mn
  11. 343 a 9 x 12 6 = 343 a 9 x 12 6 = 7 3 a 9 x 12 6 = 7 3 a x 6 = 7 1 2 a 3 2 x 2 = 7 a 3 x 2 = 7 a 2 a x 2 =a 7 a x 2 =a x 2 7a
  12. m 10 n 15 x 20 15 = m n 15 15 x = m 2 3 n x 4 3 = m 2 3 n x 4 3 = m 2 3 n x 3 x 3 =nx m 2 3 x3 =nx m 2 x 3