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CAPITULO XXXI

R a d i c a l e s
Racionalización
Ejercicio 247
Racionalizar el denominador de:
  1. 1 3 = 1 3 × 3 3 = 3 3 2 = 3 3
  2. 5 2 = 5 2 × 2 2 = 5 2 2 2 = 5 2 2
  3. 3 4 5 = 3 4 5 × 5 5 = 3 5 4 5 2 = 3 5 4( 5 ) = 3 5 20
  4. 2a 2ax = 2a 2ax × 2ax 2ax = 2a 2ax (2ax ) 2 = 2a 2ax 2a x = 2ax x
  5. 5 4 a 2 3 = 5 2 2 a 2 3 × 2a 3 2a 3 = 5 2a 3 (2a ) 3 3 = 5 2a 3 2a
  6. 1 9x 3 = 1 3 2 x 3 × 3 x 2 3 3 x 2 3 = 3 x 2 3 (3x ) 3 3 = 3 x 2 3 3x
  7. 3 9a 4 = 3 3 2 a 4 × 3 2 a 3 4 3 2 a 3 4 = 3 3 2 a 3 4 (3a ) 4 4 = 3 9 a 3 4 3 a = 9 a 3 4 a
  8. 6 5 3x 3 = 6 5 3x 3 × (3x ) 2 3 (3x ) 2 3 = 6 (3x ) 2 3 5 (3x ) 3 3 = 9 x 2 3 5( 3 x ) = 2 9 x 2 3 5x
  9. x 27 x 2 4 = x 3 3 x 2 4 × 3 x 2 4 3 x 2 4 = x 3 x 2 4 (3x ) 4 4 = x 3 x 2 4 3 x = 3 x 2 4 3
  10. 1 8 a 4 5 = 1 2 3 a 4 5 × 2 2 a 5 2 2 a 5 = 2 2 a 5 (2a ) 5 5 = 4a 5 2a
  11. 5 n 2 3 mn = 5 n 2 3 mn × mn mn = 5 n 2 mn 3 (mn ) 2 = 5 n 2 mn 3m n = 5n mn 3m
  12. 1 5a 25 x 3 4 = 1 5a 5 2 x 3 4 × 5 2 x 4 5 2 x 4 = 5 2 x 4 5a (5x ) 4 4 = 25x 4 5a(5x ) = 25x 4 25ax