# What is the answer to 2 times the square root of 18?

Jul 15, 2015

+6 times the square root of 2
or
-6 times the square root of 2

#### Explanation:

Two times the square root of 18
can be expressed algebraically as
$\textcolor{w h i t e}{\text{XXXX}}$$2 \cdot \left(\pm \sqrt{18}\right)$

Since $\sqrt{18} = \sqrt{{3}^{2} \cdot 2} = \sqrt{{3}^{2}} \cdot \sqrt{2} = 3 \sqrt{2}$

$2 \cdot \left(\pm \sqrt{18}\right) = \pm 6 \sqrt{2}$