# How do you simplify the radical expression: #sqrt 120 / sqrt 5#?

##### 1 Answer

Cancel out what is common in the numerator and denominator, then simplify the result and get to

#### Explanation:

Questions like this one require that we find something in the numerator and something in the denominator that are the same, then we cancel them out and get a simplified expression.

Before we dive in, let's look at the fraction. Let's ignore the square roots for the moment! In the denominator there is a 5. In the numerator there is a 120. Can we evenly divide 5 into 120? Yes - 5 goes into 120 24 times. So if there wasn't the square roots, things would look like this:

With both the numerator and denominator having square roots, the above will work the same way:

Now we can simplify