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. Then goes on to do the following examples which you may want to try first of all.

Simplify the following:

  1. \sqrt {27}
  2. \sqrt {50}
  3. \sqrt {320}