Question

Rationalise the denominator 5/root7-root5

Answer 1

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Answer 2

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☆Answer☆

$= > \frac{5}{ \sqrt{7} - \sqrt{5} } \times \: \frac{ \sqrt{7} + \sqrt{5} }{ \sqrt{7} + \sqrt{5} }$

$= > \frac{ \sqrt[5]{7} + \sqrt[5]{5} }{(7 - 5)}$

$= > \frac{ \sqrt[5]{7} }{2} + \sqrt[5]{5}$

$= > \frac{5}{2} ( \sqrt{7} + \sqrt{5} )$

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