# What is sqrt(8)+sqrt(18)-sqrt(32)?

Mar 11, 2018

$9 \sqrt{2}$

#### Explanation:

Before we start, do you notice something? The numbers $8$, $18$, and $32$ are perfect squares multiplied by $2$.

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

Split up the invidual square roots,

$\left(\sqrt{4} \times \sqrt{2}\right) + \left(\sqrt{9} \times \sqrt{2}\right) + \left(\sqrt{16} \times \sqrt{2}\right)$

Square root the perfect squares,

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

$9 \sqrt{2}$