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How to Rationalize the DenominatorExamples, formula and the Steps!
In order to rationalize the denominator, you must multiply the numerator and denominator of a fraction by some radical that will make the 'radical' in the denominator go away. Below is some background knowledge that you must remember in order to be able to understand the steps we are going to use.
How to Rationalize the Denominator PowerPoint
Examples of rationalizing the denominator
Example 1: Simplified Denominator
Rationalize the denominator of 
Note: this first example is the easiest type--It has a simplified denominator with no variables. Scroll down the page for more difficult examples
Example 2: Denominator not Simplified Rationalize 
Example 3: Conjugates (more on rationalizing denominators with conjugates) Rationalize 
Practice Problems
Problem 1) Rationalize 
This problem is like example 1 since its denominator is already simplified.
Problem 2) Rationalize 
This problem is like example 1 since its denominator is already simplified.
Problem 3) Rationalize 
This problem is like example 2 since its denominator is not simplified.
Problem 4) Rationalize 
This problem is like example 2 since its denominator is not simplified.
Problem 5) Rationalize 
This problem is like example 2 since its denominator is not simplified.
Problem 6) Rationalize 
This problem is like example 2 since its denominator is not simplified.
Rationalize Denominator Conjugate
Problem 7) Rationalize
This problem is like example 3 since you must multiply by the denominator's conjugate..
Problem 8) Rationalize 
This problem is like example 3 since you must multiply by the denominator's conjugate..
Problem 9) Rationalize 
This problem is like example 3 since you must multiply by the denominator's conjugate..
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by a number that will make the radical in the denominator 'go away'
is already simplified, so nothing to do here
is already simplified.
is already simplified