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Mathematical Methods · Unit 1 · Surds and quadratic functions · Surds

Rationalise the denominator of fractional expressions involving square roots, e.g. √7 √3 = √7 √3 × √3 √3 = √7×√3 √3×√3 = √21 3

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Question 1

Determine the simplified form of $\frac{5\sqrt{2}}{\sqrt{6}}$ with a rational denominator.

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Question 2

Rationalise the denominator of \(\frac{5\sqrt{2} + 3}{2\sqrt{3} - \sqrt{6}}\) and express your answer in simplest form.

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Simplify square roots of natural numbers which contain perfect square factors, e.g. √45 = √9 × 5 = √9√5 = 3√5
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