Question

$( \sqrt{5 + 2 \sqrt{6} } + \sqrt{8 - 2 \sqrt{15} }$

Answer 1

on adding both of them we get the given answer.

Answer 2

Howdy!!

your answer is --

we have ,

$\sqrt{(5 + 2 \sqrt{6} }) + \sqrt{(8 - 2 \sqrt{15}) } \\ = \sqrt{ {( \sqrt{2} + \sqrt{3} })^{2} } + \sqrt{ {( \sqrt{5} - \sqrt{3} )}^{2} } \\ = \sqrt{2} + \sqrt{3} + \sqrt{5} - \sqrt{3} = \sqrt{2} + \sqrt{5}$


hope it help you