# How do you simplify 6 sqrt7-sqrt28?

Sep 25, 2016

$4 \sqrt{7}$

#### Explanation:

$6 \sqrt{7} - \sqrt{28} \text{ } \leftarrow$ 7 is prime. work on 28.

$= 6 \sqrt{7} - \sqrt{4 \times 7} \text{ } \leftarrow$ 4 is a square - find its root

$= 6 \sqrt{7} - 2 \sqrt{7} \text{ } \leftarrow$ there are like terms

$= 4 \sqrt{7}$