Question

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

Answer 1

`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!