How do you simplify 21sqrt2+6sqrt6?

1 Answer
Oct 16, 2015

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))