How do you simplify #5sqrt6 + sqrt6#?

1 Answer
Jun 27, 2016

Answer:

Do a little factoring and adding to get #6sqrt6#.

Explanation:

Begin by factoring out #sqrt6#:
#sqrt(6)(5+1)#

Note that if we distributed the #sqrt(6)#, we would get #5sqrt(6)+sqrt(6)#, which is our original expression.

Now add #5+1# in the parentheses:
#sqrt(6)(6)#

Finally, rewrite so it looks a little neater:
#6sqrt6#