How do you simplify sqrt8+sqrt18 -sqrt 32?

1 Answer
Jun 25, 2018

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!