Question

simplify each of the following expression
$( \sqrt{5 + \sqrt{2) {?}^{2} } }$

Answer 1

Hey friend,
Here is the answer you were looking for:
$( \sqrt{5} + \sqrt{2}) ^{2} \\ \\ using \: the \: identity \\ {(a + b)}^{2} = {(a)}^{2} + {(b)}^{2} + 2ab \\ \\ = ( {( \sqrt{5} )}^{2} + {( \sqrt{2} )}^{2} + 2 \times \sqrt{5} \times \sqrt{2} \\ \\ = 5 + 2 + 2 \sqrt{10} \\ \\ = 7 + \sqrt{10}$

Hope this helps!!!

@Mahak24

Thanks...
☺