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Rationalising the Denominator and Simplifying Surds

Typical surd expressions take the form

To simplify an expression like this we multiply numerator (top) and denominator (bottom) by the conjugate root of the bottom. In this case the conjugate root isThe ontain an expression of the formover d whereare whole numbers in all these equations.

Example:

Rationalise the denominator and simplify:

Example:

Rationalise the denominator and simplify: