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Pertanyaan

Bentuk rasional dari 1/(2-akar3)^1/4 adalah

1 Jawaban

  • [tex] \frac{1}{ {(2 - \sqrt{3} )}^{ \frac{1}{4} } } = \\
    \frac{1}{ {(2 - \sqrt{3} )}^{ \frac{1}{4} } } \times \frac{ {(2 + \sqrt{3} )}^{ \frac{1}{4} } }{ {(2 + \sqrt{3} )}^{ \frac{1}{4} } } = \\
    \frac{ {(2 + \sqrt{3} )}^{ \frac{1}{4} } }{ {(4 - 3 )}^{ \frac{1}{4} } } = \\
    \frac{ {(2 + \sqrt{3} )}^{ \frac{1}{4} } }{ {(1)}^{ \frac{1}{4} } } = \\
    (2 + \sqrt{3} )^{ \frac{1}{4} } = \\
    \sqrt[4]{(2+\sqrt{3})} [/tex]

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