Question

Simplify the following expression

$\tt(\sqrt{5}-\sqrt{2})(\sqrt{5}+\sqrt{2}).$​

Answer 1

Answer:-

Your Answer Is 3.

ID Used:-

$\\ \tt\mapsto(a + b)(a + b) = {a}^{2} - {b}^{2} ....id(1)$

Explanation:-

Given Expression:-

$\\ \tt\mapsto( \sqrt{5} - \sqrt{2} )( \sqrt{5} + \sqrt{2} ).$

$\\ \tt = ( \sqrt{5} ) {}^{2} - ( \sqrt{2} ) {}^{2} .$

$\\ \rm \bigg(by \: \: using \: \: id(1) \bigg)$

$\\ \tt = 5 - 2.$

$\\ \large \bf \boxed{ \bf = 3}.$

Therefore The Required Answer Is 3.

Answer 2

Answer is in the attachment