How do you rationalize the denominator and simplify #(3sqrt9)/sqrt27#?
You can simplify the expression quite a lot before rationalizing:
So, the expression becomes
To rationalize this expression, multiply and divide by
First, we can rewrite
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!