OML Search

Rationalize the Denominator




 
Related Topics:
More Lessons for Basic Algebra

Math Worksheets

A series of free, online Basic Algebra Lessons.
Videos, solutions, worksheets, and activities to help Algebra students.

In this lesson we will learn

  • how to rationalize the denominator
  • how to rationalize the denominator using conjugates

Rationalizing the Denominator
If a fraction contains radicals in the denominator then we need to "rationalize" the fraction. This means to perform some operations to remove the radicals from the denominator. If the denominator has a sum or difference of two different radicands, we need to multiply the numerator and denominator by a conjugate to remove the radicals.
Rationalizing the Denominator Part 1 of 7



Rationalizing the Denominator Part 2 of 7
Rationalizing the Denominator Part 3 of 7


 
Rationalizing the Denominator using conjugates
When the denominator has two terms, we need to multiply the numerator and denominator by a conjugate to remove the radicals.
Rationalizing the Denominator Part 4 of 7
Rationalizing the Denominator Part 5 of 7


Rationalizing the Denominator Part 6 of 7
Rationalizing the Denominator Part 7 of 7


 

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


OML Search


We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.


[?] Subscribe To This Site

XML RSS
follow us in feedly
Add to My Yahoo!
Add to My MSN
Subscribe with Bloglines