Matematika

Pertanyaan


[tex] \frac{10}{ \sqrt{3 - \sqrt{3} } } [/tex]

1 Jawaban

  • kukerjan penyebutnya dulu
    √(3-√3) = √1/6 (3-√3)² + 1
                = (3-√3) √7/6
                = 3√7/6 - √21/6

    10/√(3-√3) = 10 / (3√7/6 - √21/6)
                                 10                 3√7/6 + √21/6     10 (3√7/6 + √21/6)
                      = --------------------- x ------------------- = ---------------------------
                         3√7/6 - √21/6        3√7/6 + √21/6            21/2 - 7/2
                                                                         
                                                                              = 10/7(3√7/6 + √21/6)

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