Question

For the BRAINLIEST!!!!
Express in Simple form!!!

Plz answer. It's urgent
CLASS 9

Answer 1

$\frac{1}{ \sqrt{2} + \sqrt{3} + \sqrt{5} }$
now simply rationalising the denominator.

$\frac{1}{ \sqrt{2} + \sqrt{3} + \sqrt{5} } \times \frac{( \sqrt{2} + \sqrt{3}) - \sqrt{5} }{ \sqrt{2 } + \sqrt{3} - \sqrt{5} } \\ \frac{ \sqrt{2} + \sqrt{3} - \sqrt{5} }{ {( \sqrt{2} + \sqrt{3}) }^{2} - {( \sqrt{5} )}^{2} } \\ \\ = \frac{ \sqrt{2} + \sqrt{3} - \sqrt{5} }{2 + 3 + 2 \sqrt{6} - 5} \\ \frac{ \sqrt{2} + \sqrt{3} - \sqrt{5} }{2 \sqrt{6} } \\ \\ multiply \: and \: divide \: by \: \sqrt{6} \\ \frac{ \sqrt{2} + \sqrt{3} - \sqrt{5} }{2 \sqrt{6} } \times \frac{ \sqrt{6} }{ \sqrt{6} } \\ \frac{ \sqrt{12} + \sqrt{18} - \sqrt{30} }{12}$
hope it will help you!!