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Ejercicio 237

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CAPITULO XXXI

R a d i c a l e s
Reducción de radicales semejantes
Ejercicio 237
Reducir:
  1. 7 2 –15 2 = 2 ( 7–15 ) =–8 2
  2. 4 3 –20 3 +19 3 = 3 ( 4–20+19 ) =3 3
  3. 5 –22 5 –8 5 = 5 ( 1–22–8 ) =–29 5
  4. 2 –9 2 +30 2 –40 2 = 2 ( 1–9+30–40 ) =–18 2
  5. 3 4 2 – 1 2 2 = 2 ( 3 4 – 1 2 ) = 2 ( 3–2 4 ) = 1 4 2
  6. 3 5 3 – 3 = 3 ( 3 5 –1 ) = 3 ( 3–5 5 ) =– 2 5 3
  7. 2 5 – 1 2 5 + 3 4 5 = 5 ( 2– 1 2 + 3 4 ) = 5 ( 8–2+3 4 ) = 9 4 5
  8. 1 4 3 +5 3 – 1 8 3 = 3 ( 1 4 +5– 1 8 ) = 5 ( 2+40–1 8 ) = 41 8 5
  9. a b –3a b +7a b = b ( a–3a+7a ) =5a b
  10. 3x y +( a–x ) y –2x y = y [ 3x+( a–x ) –2x ] = y [ 3x +a– x – 2x ] =a y
  11. ( x–1 ) 3 +( x–3 ) 3 +4 3 = 3 [ ( x–1 ) +( x–3 ) +4 ] = 3 [ x– 1 +x– 3 + 4 ] =2x 3
  12. 1 3 23 – 2 3 23 +2 23 = 23 ( 1 3 – 2 3 +2 ) = 23 ( 1–2+6 3 ) = 5 3 23
  13. 3 5 23 – 1 4 23 + 1 6 23 = 23 ( 3 5 – 1 4 + 1 6 ) = 23 ( 36–15+10 60 ) = 31 60 23
  14. x a 2 3 –( a–2x ) a 2 3 +( 2a–3x ) a 2 3 = a 2 3 [ x–( a–2x ) +( 2a–3x ) ] = a 2 3 [ x –a+ 2x +2a– 3x ] =a a 2 3
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