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

1 Answer
Oct 16, 2015

Answer:

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

Explanation:

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

You can, however, rewrite #sqrt(6)# as

#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 #3sqrt(2)# as a common factor for the two terms to get

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