# How do you simplify sqrt8+sqrt18 -sqrt 32?

Jun 25, 2018

$\sqrt{2}$

#### Explanation:

$\sqrt{8} + \sqrt{18} - \sqrt{32}$

First, find the greatest factors of each number in the radical that can be square rooted:
$\sqrt{4 \cdot 2} + \sqrt{9 \cdot 2} - \sqrt{16 \cdot 2}$

Simplify:
$\sqrt{4} \sqrt{2} + \sqrt{9} \sqrt{2} - \sqrt{16} \sqrt{2}$

$2 \sqrt{2} + 3 \sqrt{2} - 4 \sqrt{2}$

$\sqrt{2}$

Hope this helps!