# How do you simplify square root of 175 minus square root of 28?

##### 1 Answer

Jul 29, 2015

#### Explanation:

First, simplify each square root:

We could go through the list starting with

So

We cannot further simplfy

Here's the short way to write what we've done:

# = 5sqrt7-2sqrt7#

Now, if we have 5 of these things and we subtract 2 of the things, surely we end up with 3 of the things.

So:

# = 3sqrt7#