Question

√(5-2√6)+√(10-2√6) evaluate

Answer 1

$\textbf{ \huge{ Hello Mate! }}$

There is an error in question,
$= \sqrt{( 5 - 2\sqrt{6}) } + \sqrt{( 5 - 2\sqrt{6}) }$ ✔

$\textbf{ \large{ Solution : }}$

$\sqrt{(5 - 2 \sqrt{6} )} + \sqrt{(5 - 2 \sqrt{6}) } \\ \sqrt{(5 - 2 \sqrt{6}) } = \sqrt{ { \sqrt{3} }^{2} + { \sqrt{2} }^{2} - 2 \sqrt{6} } \\ = \sqrt{( { \sqrt{3} - \sqrt{2} )}^{2} } \\ = \sqrt{3} - \sqrt{2} \\ = > \sqrt{3} - \sqrt{2} + \sqrt{3} - \sqrt{2} \\ = > 2 \sqrt{3}$

$\boxed{ \textsf{ \red{ Answer\:is\: 2 root 3 }}}$

Have great future ahead!