Q

# Simplify each of the following expressions: (iv)

2.  Simplify each of the following expressions:

(iv)     $\left (\sqrt{5}-\sqrt{2} \right )\left ( \sqrt{5}+\sqrt{2} \right )$

Views

Given number is  $\left (\sqrt{5}-\sqrt{2} \right )\left ( \sqrt{5}+\sqrt{2} \right )$

Now, we will reduce it into
$\Rightarrow \left (\sqrt{5}-\sqrt{2} \right )\left ( \sqrt{5}+\sqrt{2} \right )= \left ( (\sqrt{5})^2-(\sqrt{2})^2 \right )$           $\left ( using \ (a+b)(a-b)=a^2-b^2\right )$
$=5-2$
$=3$