Question

Rationalise the denominator of 1
/
√8− √7​

Answer 1

Answer:

$\frac{1}{ \sqrt{8} - \sqrt{7} } \ \times \frac{ \sqrt{8} + \sqrt{7} }{ \sqrt{8} + \sqrt{7} } \\ \\ = \frac{ \sqrt{8} + \sqrt{7} }{(8) {}^{2} - {7}^{2} } \\ \\ = \frac{ \sqrt{8} + \sqrt{7} }{64 - 49} \\ \\ = \frac{ \sqrt{8} + \sqrt{7} }{15}$

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