# How do you simplify: square root of 32 - square root of 18?

Jul 15, 2015

=color(blue)(sqrt2

#### Explanation:

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

• $\sqrt{32} = \sqrt{{2}^{2} \cdot {2}^{2} \cdot 2} = 4 \sqrt{2}$
• $\sqrt{18} = \sqrt{{3}^{2} \cdot 2} = 3 \sqrt{2}$

$\sqrt{32} - \sqrt{18} = 4 \sqrt{2} - 3 \sqrt{2}$

=color(blue)(sqrt2