Question

pls answer this question​

Answer 1

here's ur answer mate...

Answer 2

$\bf \: Solution:$

$Question = \mathsf {\frac{ \sqrt{2} }{ \sqrt{10} - \sqrt{5} + 1 } }$

$\mathsf= > \frac{ \sqrt{2} }{ \sqrt{10} - \sqrt{5} + 1} \times \frac{ \sqrt{10 + \sqrt{5 - 1} } }{ \sqrt{10 + \sqrt{5 - 1} } }$

$\mathsf= > \frac{ \sqrt{2( \sqrt{10 + \sqrt{5 - 1)} } } }{( { \sqrt{10} }^{2} )- ({ \sqrt{5} }^{2}) - ({ \sqrt{1} )}^{2} }$

$= > \frac{ \sqrt{20 + \sqrt{10 - \sqrt{2} } } }{10 - 5 + 1}$

$= > \frac{ \sqrt{20 + \sqrt{10 - \sqrt{2} } } }{10 - 6}$

$= > \frac{ \sqrt{2 + \sqrt{10 - \sqrt{2} } } }{4}$