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Ejercicio 285

Gestor Baldor
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DESCARGA
CAPITULO XXXVI

Transformación de radicales dobles
Ejercicio 285
Transformar en suma algebraica de radicales simples:
  1. 5+ 24 Sea: a=5 b=24 m = a 2 –b m = 5 2 –24 m = 25–24 m = 1 m =1 5+ 24 = a+m 2 + a–m 2 = 5+1 2 + 5–1 2 = 2 + 2 = 3 + 2
  2. 8– 60 Sea: a=8 b=60 m = a 2 –b m = 8 2 –60 m = 64–60 m = 4 m =2 8– 60 = a+m 2 – a–m 2 = 8+2 2 – 8–2 2 = 2 – 2 = 5 – 3
  3. 8+ 28 Sea: a=8 b=28 m = a 2 –b m = 8 2 –28 m = 64–28 m = 36 m =6 8+ 28 = a+m 2 + a–m 2 = 8+6 2 + 8–6 2 = 2 + 2 2 = 7 +1
  4. 32– 700 Sea: a=32 b=700 m = a 2 –b m = 3 2 2 –700 m = 1024–700 m = 324 m =18 32– 700 = a+m 2 – a–m 2 = 32+18 2 – 32–18 2 = 2 – 2 =5– 7
  5. 14+ 132 Sea: a=14 b=132 m = a 2 –b m = 1 4 2 –132 m = 196–132 m = 64 m =8 14+ 132 = a+m 2 + a–m 2 = 14+8 2 + 14–8 2 = 2 + 2 = 11 + 3
  6. 13+ 88 Sea: a=13 b=88 m = a 2 –b m = 1 3 2 –88 m = 169–88 m = 81 m =9 13+ 88 = a+m 2 + a–m 2 = 13+9 2 + 13–9 2 = 2 + 2 = 11 + 2
  7. 11+2 30 = 11+ 120 Sea: a=11 b=120 m = a 2 –b m = 1 1 2 –120 m = 121–120 m = 1 m =1 11+2 30 = a+m 2 + a–m 2 = 11+1 2 + 11–1 2 = 2 + 2 = 6 + 5
  8. 84–18 3 = 84– 972 Sea: a=84 b=972 m = a 2 –b m = 8 4 2 –972 m = 7056–972 m = 6084 m =78 84–18 3 = a+m 2 – a–m 2 = 84+78 2 – 84–78 2 = 2 – 2 =9– 3
  9. 21+6 10 = 21+ 360 Sea: a=21 b=360 m = a 2 –b m = 2 1 2 –360 m = 441–360 m = 81 m =9 21+6 10 = a+m 2 + a–m 2 = 21+9 2 + 21–9 2 = 2 + 2 = 15 + 6
  10. 28+14 3 = 28+ 588 Sea: a=28 b=588 m = a 2 –b m = 2 8 2 –588 m = 784–588 m = 196 m =14 28+14 3 = a+m 2 + a–m 2 = 28+14 2 + 28–14 2 = 2 + 2 = 21 + 7
  11. 14–4 6 = 14– 96 Sea: a=14 b=96 m = a 2 –b m = 1 4 2 –96 m = 196–96 m = 100 m =10 14–4 6 = a+m 2 – a–m 2 = 14+10 2 – 14–10 2 = 2 – 2 = 12 – 2 =2 3 – 2
  12. 55+30 2 = 55+ 1800 Sea: a=55 b=1800 m = a 2 –b m = 5 5 2 –1800 m = 3025–1800 m = 1225 m =35 55+30 2 = a+m 2 + a–m 2 = 55+35 2 + 55–35 2 = 2 + 2 = 45 + 10 = 5. 3 2 + 10 =3 5 + 10
  13. 73–12 35 = 73– 5040 Sea: a=73 b=5040 m = a 2 –b m = 7 3 2 –5040 m = 5329–5040 m = 289 m =17 73–12 35 = a+m 2 – a–m 2 = 73+17 2 – 73–17 2 = 2 – 2 = 45 – 28 = 5. 3 2 – 7. 2 2 =3 5 –2 7
  14. 253–60 7 = 253– 25200 Sea: a=253 b=25200 m = a 2 –b m = 25 3 2 –25200 m = 64009–25200 m = 38809 m =197 253–60 7 = a+m 2 – a–m 2 = 253+197 2 – 253–197 2 = 2 – 2 =15– 28 =15– 7. 2 2 =15–2 7
  15. 293–30 22 = 293– 19800 Sea: a=293 b=19800 m = a 2 –b m = 29 3 2 –19800 m = 85849–19800 m = 66049 m =257 293–30 22 = a+m 2 – a–m 2 = 293+257 2 – 293–257 2 = 2 – 2 = 275 – 18 = 11. 5 2 – 2. 3 2 =5 11 –3 2
  16. 5 6 + 2 3 Sea: a= 5 6 b= 2 3 m = a 2 –b m = ( 5 6 ) 2 – 2 3 m = 25 36 – 2 3 m = 1 36 m = 1 6 5 6 + 2 3 = a+m 2 + a–m 2 = 5 6 + 1 6 2 + 5 6 – 1 6 2 = 1 2 + 4 2 = 1 2 + 1 3 = 1 2 2 2 + 1 3 3 3 = 2 2 + 3 3
  17. 3 4 – 1 2 Sea: a= 3 4 b= 1 2 m = a 2 –b m = ( 3 4 ) 2 – 1 2 m = 9 16 – 1 2 m = 1 16 m = 1 4 3 4 – 1 2 = a+m 2 – a–m 2 = 3 4 + 1 4 2 – 3 4 – 1 4 2 = 1 2 – 1 2 2 = 1 2 – 1 4 = 1 2 2 2 – 1 2 = 2 2 – 1 2 = 1 2 ( 2 –1 )
  18. 9 16 + 1 8 Sea: a= 9 16 b= 1 8 m = a 2 –b m = ( 9 16 ) 2 – 1 8 m = 81 256 – 1 8 m = 49 256 m = 7 16 9 16 + 1 8 = a+m 2 + a–m 2 = 9 16 + 7 16 2 + 9 16 – 7 16 2 = 1 2 + 1 8 2 = 1 2 + 1 16 = 1 2 2 2 + 1 4 = 2 2 + 1 4
    Hallar la raíz cuadrada de:
  19. 6+4 2 6+4 2 = 6+ 32 Sea: a=6 b=32 m = a 2 –b m = 6 2 –32 m = 36–32 m = 4 m =2 6+4 2 = a+m 2 + a–m 2 = 6+2 2 + 6–2 2 = 2 + 2 =2+ 2
  20. 7+4 3 7+4 3 = 7+ 48 Sea: a=7 b=48 m = a 2 –b m = 7 2 –48 m = 49–48 m = 1 m =1 7+4 3 = a+m 2 + a–m 2 = 7+1 2 + 7–1 2 = 2 + 2 =2+ 3
  21. 8+2 7 8+2 7 = 8+ 28 Sea: a=8 b=28 m = a 2 –b m = 8 2 –28 m = 64–28 m = 36 m =6 8+2 7 = a+m 2 + a–m 2 = 8+6 2 + 8–6 2 = 2 + 2 2 = 7 +1
  22. 10+2 21 10+2 21 = 10+ 84 Sea: a=10 b=84 m = a 2 –b m = 1 0 2 –84 m = 100–84 m = 16 m =4 10+2 21 = a+m 2 + a–m 2 = 10+4 2 + 10–4 2 = 2 + 2 = 7 + 3
  23. 18+6 5 18+6 5 = 18+ 180 Sea: a=18 b=180 m = a 2 –b m = 1 8 2 –180 m = 324–180 m = 144 m =12 18+6 5 = a+m 2 + a–m 2 = 18+12 2 + 18–12 2 = 2 + 2 = 15 + 3
  24. 24–2 143 24–2 143 = 24– 572 Sea: a=24 b=572 m = a 2 –b m = 2 4 2 –572 m = 576–572 m = 4 m =2 24–2 143 = a+m 2 – a–m 2 = 24+2 2 – 24–2 2 = 2 – 2 = 13 – 11
  25. 30–20 2 30–20 2 = 30– 800 Sea: a=30 b=800 m = a 2 –b m = 3 0 2 –800 m = 900–800 m = 100 m =10 30–20 2 = a+m 2 – a–m 2 = 30+10 2 – 30–10 2 = 2 – 2 = 20 – 10 = 5. 2 2 – 10 =2 5 – 10
  26. 9+6 2 9+6 2 = 9+ 72 Sea: a=9 b=72 m = a 2 –b m = 9 2 –72 m = 81–72 m = 9 m =3 9+6 2 = a+m 2 + a–m 2 = 9+3 2 + 9–3 2 = 2 + 2 = 6 + 3
  27. 98–24 5 98–24 5 = 98– 2880 Sea: a=98 b=2880 m = a 2 –b m = 9 8 2 –2880 m = 9604–2880 m = 6724 m =82 98–24 5 = a+m 2 – a–m 2 = 98+82 2 – 98–82 2 = 2 – 2 = 90 – 8 = 10. 3 2 – 2. 2 2 =3 10 –2 2
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