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Math Help - Rationalise the denominators

  1. #1
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    Rationalise the denominators

    i need help with folowing

    (a) \frac{\sqrt{27}}{{5-{\sqrt{3}}}}

    (b) \frac{{2}\sqrt{7}{-5}}{{7}\sqrt{3}{-4}}

    many thanks
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  2. #2
    Senior Member Dinkydoe's Avatar
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    (a) \frac{\sqrt{27}}{5-\sqrt{3}} = \frac{\sqrt{27}}{5-\sqrt{3}}\cdot \frac{5+\sqrt{3}}{5+\sqrt{3}}= \frac{5\sqrt{27}+\sqrt{81}}{22}

    Do the other one likewise.
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