How do you simplify #sqrt2/sqrt18#?

1 Answer
Jan 26, 2016

Answer:

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#