# What is sqrt2( 5 - sqrt2) ?

$5 \setminus \sqrt{2} - 2$

#### Explanation:

Given that

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

$= \setminus \sqrt{2} \setminus \cdot 5 - \setminus \sqrt{2} \setminus \cdot \setminus \sqrt{2}$

$= 5 \setminus \sqrt{2} - 2$

Jul 26, 2018

$5 \sqrt{2} - 2$
We can distribute $\sqrt{2}$ to both of the terms in the parenthesis. Recall that $\sqrt{2} \cdot \sqrt{2} = 2$. We now have
$5 \sqrt{2} - 2$