Question

Simplify the following expression :

v) $(\sqrt{5}-\sqrt{2})(\sqrt{5}+\sqrt{2})$

Answer 1

Given : $(\sqrt{5}-\sqrt{2})(\sqrt{5}+\sqrt{2})$

Using identity, $(a-b)(a+b)=a^2-b^2$

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

$=5-2$

$=3$