Surds

Mathematical Methods · Unit 1 — Surds, algebra, functions and probability · Surds and quadratic functions

Learning objectives (4)

LO-1Rationalise the denominator of fractional expressions involving square roots, e.g. √7 √3 = √7 √3 × √3 √3 = √7×√3 √3×√3 = √21 3 LO-2Simplify square roots of natural numbers which contain perfect square factors, e.g. √45 = √9 × 5 = √9√5 = 3√5 LO-3Understand the concept of a surd as an irrational number represented using a square root or a radical sign.LO-4Use the four operations to simplify surds, e.g. √5 − 2√5 + 4√5 = 3√5 and 2√3 × 5√11 = 10√33

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