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

$\sqrt{8} + \sqrt{32} = 6 \sqrt{2}$
$\sqrt{8} = \sqrt{{2}^{2} \times 2} = \sqrt{{2}^{2}} \cdot \sqrt{2} = 2 \sqrt{2}$
$\sqrt{32} = \sqrt{{4}^{2} \times 2} = \sqrt{{4}^{2}} \cdot \sqrt{2} = 4 \sqrt{2}$
$2 \sqrt{2} + 4 \sqrt{2} = 6 \sqrt{2}$