Matematika

Pertanyaan

Bentuj sederhana dari 8/3-√5 adalah...

2 Jawaban

  • Rasionalisasi Akar

    8/ 3-√5 (3+√5 / 3 +√5)
    = 8(3+√5) / 9-5
    = 2(3+√5)
  • [tex] \frac{8}{3-\sqrt{5}} = \frac{8}{3-\sqrt{5}} x \frac{3+\sqrt{5}}{3+\sqrt{5}}[/tex]
    = [tex] \frac{24+8\sqrt5}{9+3\sqrt{5}-3\sqrt{5}-\sqrt{25}} [/tex]
    = [tex] \frac{24+8\sqrt5}{9-5} [/tex]
    = [tex] \frac{24+8\sqrt5}{4} [/tex]
    = [tex] \frac{8(3+\sqrt5)}{4} [/tex]
    = [tex] 2(3+\sqrt{5}) [/tex]

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