# How do you simplify (-9-sqrt108) / 3?

Mar 7, 2016

By reducing the radical and dividing by three.

#### Explanation:

In the problem, you have $\sqrt{108}$ which we can reduce from using a factor tree.

If you look up how to do it there will be a multitude of examples for you to look at, but it's really hard to format it here.

108 = 542 = 2722 = 9322 = 33322. We can take out a pair of two's and three's which gives us our simplified radial $6 \sqrt{3}$.

That simplified radical gives us the problem $\frac{- 9 - 6 \sqrt{3}}{3}$.

Now we can factor out three's from $9$ and $6 \sqrt{3}$ and divide the three's out by the three in the denominator, which gives us a simplified $- 3 - 2 \sqrt{3}$ which should be your final answer.