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

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Answer 1 · 2015-10-16T00:12:01

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

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))#