# How do you simplify #(3sqrt7 - 6sqrt5)(4sqrt7 + 8sqrt5)#?

##### 1 Answer

May 18, 2018

#### Explanation:

Simplifying would mean getting rid of as many square roots as possible. We should, therefore, multiply it out.

First we note that 3 is common in the first parenthesis, and 4 is common in the second. Therefore:

You should know that

which means that

Therefore

Ergo