Rationalising Denominators
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Write in the form where and are integers and has no square factors.
There is an expression on the denominator, so the fraction will need to be multiplied by a fraction with this expression on both the numerator and denominator, but with the sign changed.
Multiply the fractions together by multiplying across the numerator and the denominator.
By expanding the denominator, you will notice that it is a difference of two squares problem.
Simplify by cancelling out the 4 on the numerator and the 2 on the denominator.
Expand and write in the form given in the question.
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