Math Tutorial 7.5 - Rationalising the Denominator

[ 6 Votes ]

There are 2 lessons in this math tutorial covering Rationalising the Denominator. The tutorial starts with an introduction to Rationalising the Denominator and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Rationalising the Denominator. you can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

  • How to multiply brackets containing surds?
  • How to use special algebraic identities to write expressions containing surds in a simple way?
  • What does 'rationalising the denominator' mean?
  • How to rationalise the denominator of a fraction if it contains only a surd and nothing else?
  • How to rationalise the denominator of a fraction if it contains only a surd multiplied by a number.
  • How to rationalise the denominator of a fraction if it contains a binomial?
  • How to rationalise the denominator when an entire fraction is inside a root?


This tutorial is about rationalising the denominator. This means you are going to learn how to get rid of roots when they are in the denominator of a fraction. However, first, it is worth explaining what happens when two or more brackets containing surds are multiplied to each other. Knowing this, will be helpful in a better understanding of denominator's rationalisation. Thus, in a certain sense, the first part of this tutorial is a continuation of the previous tutorial, especially its concluding part.

Please select a specific "Rationalising the Denominator" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Powers and Roots Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
7.5Rationalising the Denominator
Lesson IDMath Lesson TitleLessonVideo
7.5.1Multiplying Brackets containing Surds
7.5.2Rationalising the Denominator

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  2. Powers and Roots Video tutorial: Rationalising the Denominator. Watch or listen to the Rationalising the Denominator video tutorial, a useful way to help you revise when travelling to and from school/college
  3. Powers and Roots Revision Notes: Rationalising the Denominator. Print the notes so you can revise the key points covered in the math tutorial for Rationalising the Denominator
  4. Powers and Roots Practice Questions: Rationalising the Denominator. Test and improve your knowledge of Rationalising the Denominator with example questins and answers
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