Skip to content
    Mathematics GCSE

    Conjugate

    What Conjugate means in Mathematics GCSE, as defined for AQA, Pearson Edexcel.

    Definitions of Conjugate

    Exam boards and our study guides word this term in slightly different ways. Learn the version your board uses.

    Check what you remember

    Read the wording for your board, then hide it and explain Conjugate in your own words. Rough notes are fine. This is a self-check, with no mark or grade.

    Reference: AQA

    For a two-term expression u + v, the matching expression u − v, or vice versa. For rationalising here, the sign between the root terms is reversed.
    AQA · Structure and calculation (study guide)
    For a two-term surd expression such as a + √b, the conjugate is a − √b; multiplying them produces a² − b.
    Pearson Edexcel · Algebra - Notation, vocabulary and manipulation (study guide)

    Topics that use Conjugate

    Related terms

    Using Conjugate in the exam

    Check the command word and mark scheme for your exact question. After comparing your explanation with the reference, use the term in an answer on the linked topic. This practice does not predict an exam mark.

    Practise Mathematics questions

    Create a free account to answer exam-style questions on this topic and get feedback on your answers.

    Start free

    A week of Premium from your first lesson · Then the free plan continues · No card, no charge

    All Mathematics GCSE terms