# How do you simplify sqrt4/sqrt36?

Sep 25, 2016

$\frac{\sqrt{4}}{\sqrt{36}} = \frac{1}{3}$

#### Explanation:

$\frac{\sqrt{4}}{\sqrt{36}}$

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

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

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

= $\frac{1 \cancel{2}}{\cancel{2} \times 3}$

= $\frac{1}{3}$