# How do you rationalize the denominator and simplify #sqrt(9xy)/(sqrt(3x^2y)#?

##### 1 Answer

Mar 31, 2016

#### Explanation:

Disregarding the possibilities of

Consider the example

Now view it as

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Given:

Write as

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

This is format is frowned upon so we need to 'get rid' of the root in the denominator.

Multiply by 1 but in the form of

Now think about

So our answer needs to be