# How do you simplify 1/4 * sqrt(72)?

Apr 28, 2016

$= \frac{3 \sqrt{2}}{2}$

#### Explanation:

$\frac{1}{4} \cdot \sqrt{72}$

$\sqrt{72}$ can be simplified as :

sqrt 72 = sqrt ( 3 * 3 * 2 * 2 * 2) = sqrt ( 3^2 * 2^2 *2) = color(green)(6 sqrt2

1/4 * sqrt72 = 1/4 * color(green)(6sqrt2

$= \frac{6 \sqrt{2}}{4}$

$= \frac{\cancel{6} \sqrt{2}}{\cancel{4}}$

$= \frac{3 \sqrt{2}}{2}$