Question

rationalise the denominator of 5/ root3-root5

Answer 1

$\frac{5}{ \sqrt{3} - \sqrt{5} } \times \frac{ \sqrt{3} + \sqrt{5} }{ \sqrt{3} + \sqrt{5} } \\ \\ = \frac{5 \sqrt{3} + 5 \sqrt{5} }{3 - 5} \\ \\ = \frac{ - 5}{2} ( \sqrt{3} + \sqrt{5} )$
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