How do you evaluate #sqrt(18) - 2sqrt(2)#?

1 Answer
Nov 5, 2015

Answer:

#3sqrt(3) - 2sqrt(2)#

Explanation:

18 has 2 and 9 as factors.

As we all know, 9 is a perfect square, which means that we can extract it from #sqrt(18)# and it will look like this #sqrt(9)* sqrt(2)#.

Then, we'll simplify #sqrt(9)# by finding its square root, which is 3.

The simplified equation is now #3sqrt(3) - 2sqrt(2)#