How do you simplify #6sqrt6 + 6sqrt3#?

1 Answer
Oct 9, 2015

Answer:

#6sqrt(3) * (sqrt(2) + 1)#

Explanation:

You can start by writing

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

The expression will thus be

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

Now use #6sqrt(3)# as a common factor to get the simplified form

#sqrt(2) * 6sqrt(3) + 6sqrt(3) = color(green)(6sqrt(3) * (sqrt(2) + 1))#