How do you simplify #sqrt8+sqrt18 -sqrt 32#?

1 Answer
Jun 25, 2018

Answer:

#sqrt2#

Explanation:

#sqrt8 + sqrt18 - sqrt32#

First, find the greatest factors of each number in the radical that can be square rooted:
#sqrt(4*2) + sqrt(9 * 2) - sqrt(16*2)#

Simplify:
#sqrt4sqrt2 + sqrt9sqrt2 - sqrt16sqrt2#

#2sqrt2 + 3sqrt2 - 4sqrt2#

#sqrt2#

Hope this helps!