Simplify the following expressions:$ (\sqrt{8}-\sqrt{2})(\sqrt{8}+\sqrt{2}) $

Given:

\( (\sqrt{8}-\sqrt{2})(\sqrt{8}+\sqrt{2}) \)

To do: 

We have to simplify the given expression.

Solution:

We know that,

$(a+b)(a-b)=a^2-b^2$

Therefore,

$(\sqrt{8}-\sqrt{2})(\sqrt{8}+\sqrt{2})=(\sqrt{8})^{2}-(\sqrt{2})^{2}$

$=8-2$

$=6$

Hence, $(\sqrt{8}-\sqrt{2})(\sqrt{8}+\sqrt{2})=6$.