# Simplify #(root3(24)-root3(81))/(sqrt32xxsqrt(2xxroot3(9))#?

##### 1 Answer

#### Explanation:

Let's work this by breaking down the different terms and see where we end up.

We start with:

I'll work through the cube roots in the numerator and the roots in the denominator:

First thing I'll do is break down the numbers within the roots to find the cube/square inside the root sign, which will allow us to simplify them. I'm also going to distribute the square root across the

The numerator is now ready for a subtraction and have a single term up top. I can regroup the denominator to perform multiplication.

I'm also going to evaluate the

And here's what we were waiting for (it actually set itself up last step but I wanted to clean things up first before dealing with the cancellation here)