Question

Rationalise the Denominator of 1 by 5 - $\sqrt{7}$

Answer 1

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Answer 2

$\huge\underline\mathfrak\orange{Solution}$

$\frac{1}{5 - \sqrt{7} } \\ = \frac{5 + \sqrt{7} }{(5 - \sqrt{7})(5 + \sqrt{7} )} \\ = \frac{5 + \sqrt{7} }{(5)^{2}-(\sqrt{7})^{2 }} \\ = \frac{5 + \sqrt{7} }{25-7} \\ = \frac{5+\sqrt{7}}{18}$