# How do you simplify #3sqrt175#?

##### 2 Answers

Mar 28, 2018

Pull out as much of the value that's under the radical as possible. You'll find that the simplified version is

#### Explanation:

What I did was look for factors of the term underneath the radical (175) that were a perfect square.

I found that the largest term that fits the description is 25. I used that in the expression to simplify the expression:

Mar 28, 2018

15

#### Explanation:

The number in the square root sign needs to be changed into two factors and one of these factors must be a square number.

175 = 7 x 25 so

so

as