# How do you simplify #sqrt(5/3)#?

##### 1 Answer

Sep 18, 2017

#### Explanation:

Note that if

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

The same is not true if

Given to simplify:

#sqrt(5/3)#

The way I have seen most people address this kind of problem is to separate the square root then rationalise the denominator by multiplying both numerator and denominator by

#sqrt(5/3) = sqrt(5)/sqrt(3) = (sqrt(5)sqrt(3))/(sqrt(3)sqrt(3)) = sqrt(15)/3#

Personally, I prefer to multiply the numerator and denominator by

#sqrt(5/3) = sqrt(15/3^2) = sqrt(15)/sqrt(3^2) = sqrt(15)/3#