# How do you simplify 1/3 sqrt 54?

Oct 2, 2016

$= \sqrt{6}$

#### Explanation:

$54$ is not a square number, but before you reach fora calculator, find its prime factors first.

$\frac{1}{3} \sqrt{54} = \frac{1}{3} \sqrt{2 \times 3 \times 3 \times 3} = \frac{1}{3} \sqrt{2 \times 3 \times \left(3 \times 3\right)}$

There is a square in the factors, so we can simplify something!

$= \frac{1}{3} \times 3 \sqrt{6}$

$= \sqrt{6}$