Matematika

Pertanyaan

√3-√5/√3+√5
Tolong sertakan caranya :)
√ = akar
/ = per / di bagu

2 Jawaban

  • jawb

    (√3 - √5)(√3 - √5)  /(√3 + √5) (√3 - √5) =

    = (3 + 5 - 2√15 ) / (3 - 5)

    =(8 - 2√15) /(-2)

    = - 4  + √15
  • [tex]= \frac{ \sqrt{3}- \sqrt{5}}{ \sqrt{3}+ \sqrt{5}} \\ \\ = \frac{ \sqrt{3}- \sqrt{5}}{ \sqrt{3}+ \sqrt{5}} \times\frac{ \sqrt{3}- \sqrt{5}}{ \sqrt{3}- \sqrt{5}} \\ \\ =\frac{ (\sqrt{3}- \sqrt{5})^2}{ 3-5} \\ \\ =\frac{ (\sqrt{3})^2- (2\sqrt{3}\sqrt{5})+(\sqrt{5})^2}{ -2} \\ \\ = \frac{3-2 \sqrt{15}+5 }{-2} \\ \\ = \frac{8-2 \sqrt{15} }{-2} \\ \\ = \frac{2(4- \sqrt{15}) }{-2} \\ \\ =-(4- \sqrt{15}) \\ \\ = \sqrt{15} -4 [/tex]

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