# How do you simplify #(6 sqrt 5) div (5 sqrt 3)#?

##### 1 Answer

Mar 5, 2016

#### Explanation:

To simplify

#=(6sqrt5)/(5sqrt3)#

We should "rationalize" the denominator. This means, try to get the

We can do this by multiplying the fraction by

#=(6sqrt5)/(5sqrt3)(sqrt3/sqrt3)#

In the numerator, we use the rule that

In the denominator, we see that

#=(6sqrt15)/(5*3)#

Simplify the fraction:

#=(2sqrt15)/5#