# How do you simplify (-12+sqrt48)/4?

Mar 14, 2018

See a solution process below:

#### Explanation:

First we can rewrite the radical as:

$\frac{- 12 + \sqrt{16 \cdot 3}}{4} \implies$

$\frac{- 12 + \sqrt{16} \sqrt{3}}{4} \implies$

$\frac{- 12 + 4 \sqrt{3}}{4} \implies$

$- \frac{12}{4} + \frac{4 \sqrt{3}}{4} \implies$

$- 3 + \sqrt{3}$