# How do you simplify #sqrt(2/3)#?

##### 2 Answers

Apr 21, 2017

#### Explanation:

and now we can see that there is a square root in the denominator that doesn't belong. So let's get rid of that.

Apr 21, 2017

#sqrt(2/3) = sqrt(6)/3#

#### Explanation:

Note that if

#sqrt(a/b) = sqrt(a)/sqrt(b)#

Also if

#sqrt(a^2) = a#

Instead of breaking up the square root then rationalising the denominator, we can make the denominator square first as follows:

#sqrt(2/3) = sqrt((2*3)/(3*3)) = sqrt(6/3^2) = sqrt(6)/sqrt(3^2) = sqrt(6)/3#