# How do you simplify (5[sqrt3]) / [sqrt12]?

Jun 20, 2016

$\frac{5}{2}$

#### Explanation:

12 is not a perfect square and therefore does not have an exact square root. However, it has a factor which is a square.

$\frac{5 \sqrt{3}}{\sqrt{12}} = \frac{5 \sqrt{3}}{\sqrt{4 \times 3}}$

=$\frac{5 \sqrt{3}}{2 \sqrt{3}}$

=$\frac{5}{2}$