# How do you simplify square root of 8 + square root of 32?

Sep 9, 2015

$\sqrt{8} + \sqrt{32} = 6 \sqrt{2}$

#### Explanation:

$\sqrt{8} = \sqrt{{2}^{2} \times 2} = \sqrt{{2}^{2}} \cdot \sqrt{2} = 2 \sqrt{2}$

$\sqrt{32} = \sqrt{{4}^{2} \times 2} = \sqrt{{4}^{2}} \cdot \sqrt{2} = 4 \sqrt{2}$

$2 \sqrt{2} + 4 \sqrt{2} = 6 \sqrt{2}$