CAIE IGCSE Mathematics Extended Rationalising Surd Denominators

Practise removing a surd from a denominator by multiplying by the surd or its conjugate and simplifying the exact result fully.

Syllabus
2028–2030
Objective
E1.18.2
Level
Extended

Exam points

  • multiply top and bottom by the denominator's surd when it contains a single surd term
  • multiply by the conjugate when the denominator is a sum or difference containing a surd
  • use difference of squares in the denominator and simplify every numerical and surd factor

E1.18.2 Rationalise the denominator question 1

[Maximum number: 2]

Rationalise the denominator.

Write your answer in its simplest form.

62\frac{6}{\sqrt{2}}

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