# How do you simplify #36/sqrt15#?

##### 2 Answers

Jul 4, 2017

#### Explanation:

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Jul 4, 2017

#### Explanation:

To simplify a fraction with a radical, we want to make sure that there is no radical on the bottom. In order to do this, we can multiply the fraction by

#36/sqrt15 * sqrt15/sqrt15 #

# = (36 * sqrt15) / (sqrt15 * sqrt15)#

# = (36sqrt15)/15#

We have one last step to simplify this expression. Notice that the top and bottom both share a factor of 3 now. So, we need to divide both the top and bottom by 3:

#(36sqrt15)/15 div 3/3#

# = (36sqrt15 div 3)/(15div3)#

#= (12sqrt15)/5#

*Final Answer*