How do you simplify -4√10 + 6√40?

1 Answer
Oct 26, 2015

#8sqrt(10#

Explanation:

We want the same radical in each term to combine the two. We can simplify #6sqrt(40)# by looking at is as #6sqrt(10*2*2)#. Take out the #2# and we get #12sqrt(10)# while the other term #-4sqrt(10)# remains unchanged.

Now we just combine them together.

#-4sqrt(10)+12sqrt(10)#

#rArr 8sqrt(10)#