# How do you rationalize the denominator and simplify #(3sqrt9)/sqrt27#?

##### 4 Answers

#### Explanation:

You can simplify the expression quite a lot before rationalizing:

#sqrt(9)=sqrt(3^2)=3# #sqrt(27)=sqrt(9*3)=sqrt(9)*sqrt(3)=3sqrt(3)#

So, the expression becomes

To rationalize this expression, multiply and divide by

#### Explanation:

#### Explanation:

#### Explanation:

First, we can rewrite

A

The key realization is that when we rationalize the denominator, we multiply the top and bottom by that denominator.

In our example, we have

Since we are multiplying by

Even though we could have rationalized the denominator in the intermediate steps, it never hurts to simplify first.

Hope this helps!