Rationalise Denominator

Maths: Edexcel A Level Pure Maths, topic 2.1.5

Rationalising the Denominator

It is often easier to work with surds when there are no square roots on the bottom of a fraction. Removing surds from the bottom of a fraction is called ‘rationalising the denominator’.

Simple example

Simple example

Advanced example

Advanced example

  • To rationalise a denominator of the form a ± √b multiply by the denominator but with the sign in front of the root changed.
Exact form

Exact form

  • Leaving an answer in exact form means leaving any fractions, surds and constants like in the expression rather than giving the answer as a decimal.

Test yourself on Rationalise Denominator

  • Which of these are in exact form?

  • Which of these are in exact form?

  • Which of these are in exact form?

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