Conjugate of a Surd

Examples; Simplify the following by rationalizing the denominators:

Solution

Practice these questions below;

Simplify the following by rationalizing the denominators:

Division of Surd

Examples; Rationalise the denominators of the following:

Solution

Practice these questions below:

Multiplication & Division of Surd

Multiplication of Surd

Examples; Simplify the following:

Solution

Practice these questions below;

Addition & Subtraction of Surd

Examples; Simplify the following:

Solution

Note;

Figure with figure and root with root; this rule simply means that you'll bring the figures together and take the root as one common factor. See below!

Practice these questions below;