Matematika

Pertanyaan

sederhanakan bentuk berikut
akar2 (akar3 + akar5) per bawahnya akar3 - akar 5 =

1 Jawaban

  • [tex]\frac{\sqrt{2}(\sqrt{3}+\sqrt{5})}{\sqrt{3}-\sqrt{5}}[/tex]
    => [tex]\frac{\sqrt{2}(\sqrt{3}+\sqrt{5})^{2}}{(\sqrt{3}-\sqrt{5})(\sqrt{3}+\sqrt{5})}[/tex]
    =>[tex]\frac{\sqrt{2}(8+2\sqrt{15})}{-2}[/tex]
    =>[tex]-\frac{2\sqrt{2}(4+\sqrt{15})}{2}[/tex]
    => [tex]-\sqrt{2}(4+\sqrt{15})[/tex]
    =>[tex]-4\sqrt{2}-\sqrt{30}[/tex]

    Semoga membantu

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