Mat utfrs 05. radiciacao
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Mat utfrs 05. radiciacao Presentation Transcript

  • 1. Aula 5 – 07/03/2011 Prof. Paulo Berndt
  • 2. Radiciação
  • 3. Radiciação 36 = 6 pois 6 = 36 23 − 27 = −3 pois (− 3) 3 = 27 4 1 1 1 14 = pois   = 625 5 5 625 − 16 não é um número real, pois (+4) 2 = +16 e (−4) 2 = +16
  • 4. Propriedades dos Radicaisn a ⋅ b = a ⋅b n nExemplo: 8 ⋅ 2 = 16 = 4
  • 5. Propriedades dos Radicaisn a n an = sendo b ≠ 0 b bExemplo:4 96 4 96 4 4 = = 16 = 2 6 6
  • 6. Propriedades dos Radicais m n a = m⋅n a Exemplo: 3 7 = 2⋅3 7= 76
  • 7. Propriedades dos Radicais ( a) n n =a Exemplo: ( 5) 4 4 =5
  • 8. SimplificaçãoExemplo 1: 80 2 4 80 = 2 ⋅ 5 4 4 40 2 20 2 = 2 ⋅ 5 4 4 4 10 2 5 5 =2 5 4 1
  • 9. SimplificaçãoExemplo 2: 18 2 9 3 18 x = 2 ⋅ 3 ⋅ x ⋅ x 5 2 4 3 3 1 = 3x 2 2x
  • 10. SimplificaçãoExemplo 3: 75 375 + 3 27 = 3 ⋅ 5 + 3 3 2 3 25 5 5 5 = 5 3 + 3⋅3 3 1 = 5 3 +9 3 27 3 9 3 = 14 3 3 3 1
  • 11. Racionalização do DenominadorExemplo 1: 2 2 3 2⋅3 6 = ⋅ = = 3 3 3 3 2 3
  • 12. Racionalização do DenominadorExemplo 2: Conjugado do denominador 1 1 7− 2 = ⋅ = 7+ 2 7+ 2 7− 2 7− 2 = = 49 − 14 + 14 − 4 7− 2 7− 2 = = 7−2 5