You will also need to know how to rationalise a fraction. In this tutorial you are shown what rationalising a fraction is and how to do it for one term and two terms in the denominator. This method is often used to simplify a fraction that has a surd in the denominator.

Examples in the video

Rationalise the following:

  1. \sqrt {\dfrac{{16}}{5}}
  2. \dfrac{3}{{\sqrt 7 }}
  3. \dfrac{2}{{5\sqrt 3 }}
  4. \dfrac{5}{{3 - \sqrt 2 }}
  5. \dfrac{3}{{5\sqrt 3  + 2\sqrt 2 }}
Video Thumbnail
Surds - Rationalising : ExamSolutions Maths Revision