Question

$\frac{1}{ \sqrt{5} + \sqrt{2} }$
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Answer 1

Step-by-step explanation:

By Rationalising the denominator, we get,

$\frac{1}{ \sqrt{5} + \sqrt{2} } \times \frac{ \sqrt{5} - \sqrt{2} }{ \sqrt{5} - \sqrt{2} } \\ \\ = > \frac{ \sqrt{5} - \sqrt{2} }{ { \sqrt{5} }^{2} - { \sqrt{2} }^{2} }$

$= > \frac{ \sqrt{5} - \sqrt{2} }{5 - 2} \\ \\ = > \frac{ \sqrt{5} - \sqrt{2} }{3}$

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