# What is the square root of 18 plus the square root of 32?

Jul 11, 2015

$\sqrt{18} + \sqrt{32} = 7 \sqrt{2}$

#### Explanation:

Use $\sqrt{a b} = \sqrt{a} \sqrt{b}$ for $a , b \ge 0$ ...

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

$= \sqrt{{3}^{2} \cdot 2} + \sqrt{{4}^{2} \cdot 2}$

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

$= \left(3 + 4\right) \sqrt{2}$

$= 7 \sqrt{2}$