Surds are numbers that cannot be square rooted exactly. Square roots of 2, 3, 5, in fact square roots of all prime numbers are surds. They give decimals that never repeat and never end.

The Multiplication Rule for Simplifying Surds

In this tutorial you are shown the multiplication rule for surds. This rule helps in simplifying a surd. The video starts off by introducing the rule and verifying it.

You are going to need to know how to combine surds by addition, subtraction and multiplication.

In this video I take you through addition and subtraction of surds.

In this video, you are shown how we combine surds by multiplication.

You will need to look at simplifying the division of surds by using the a new rule shown in the video.

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.