# How do you simplify (-4+- sqrt 28)/7?

Jul 4, 2018

$- \frac{4}{7} \pm \frac{2 \sqrt{7}}{7}$

#### Explanation:

Ideally, we want to start by factoring out a perfect square from the radical. We can rewrite $\sqrt{28}$ as

$\sqrt{4 \cdot 7} = 2 \sqrt{7}$

With this, we now have

$\frac{- 4 \pm 2 \sqrt{7}}{7}$

Since none of the terms have common factors other than one, this is the most simplified we can get this expression.

Alternatively, we can separate the operations in the following way:

$- \frac{4}{7} \pm \frac{2 \sqrt{7}}{7}$

Hope this helps!