Question

Multiply
$\sqrt{2}(\sqrt{8}-\sqrt{18})$

Answer 1

The given equation is $\sqrt{2}(\sqrt{8}-\sqrt{18})$

Neither $8$ nor $18$ is a perfect square, but we can simplify the fraction first.

$\sqrt{2}(\sqrt{8}-\sqrt{18})$$=\sqrt{\frac{2}{2}}(\sqrt{\frac{8}{2}}-\sqrt{\frac{18}{2}})$

$=\sqrt{1}(\sqrt{4}-\sqrt{9})$

$=1(2-3)$

$=1(-1)$

$=-1$