# What is the square root of 3 divided by the square root of 12?

Sep 18, 2015

sqrt3/sqrt12 = color(green)(1/2

#### Explanation:

We know that color(blue)(sqrta/sqrtb = sqrt(a/b)

Hence $\frac{\sqrt{3}}{\sqrt{12}} = \sqrt{\frac{3}{12}}$

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

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

 = color(green)(1/2