# How do you simplify #21sqrt2+6sqrt6#?

##### 1 Answer

Oct 16, 2015

#### Explanation:

There's really not much you can do to simplify this expression.

You can, however, rewrite

#sqrt(6) = sqrt(2 * 3) = sqrt(2) * sqrt(3)#

The expression becomes

#21sqrt(2) + 6 * sqrt(2) * sqrt(3)#

Notice that you can now use *common factor* for the two terms to get

#3 * 7 * sqrt(2) + 2 * 3 * sqrt(2) * sqrt(3) = 3sqrt(2)* ( 7 + 2sqrt(3))#