Question

rationalize the denominator

Answer 1

Hello Mate!

$\frac{ \sqrt{5} - \sqrt{2} }{ \sqrt{5} + \sqrt{2} } \\ = \frac{ \sqrt{5} - \sqrt{2} }{ \sqrt{5} + \sqrt{2} } \times \frac{ \sqrt{5} - \sqrt{2} }{ \sqrt{5} - \sqrt{2} } \\ = \frac{ {( \sqrt{5} - \sqrt{2}) }^{2} }{5 - 2} \\ = \frac{5 + 2 - 2 \sqrt{10} }{3} = \frac{7 - 2 \sqrt{10} }{3}$

* Hope u got it*

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