Question

How do you simplify `sqrt2/sqrt18`?

Answer 1

Remove common factors.

Explanation:

There are actually two ways to simplify this.

The first is to factor the denominator
`sqrt(2)/sqrt(18) = sqrt(2)/sqrt(9*2) =cancel(sqrt(2))/(sqrt(9)*cancel(sqrt(2))) = 1/3`

The second is put the whole expression under one square root.

`sqrt(2)/sqrt(18) = sqrt(2/18) = sqrt(1/9) = 1/3`