Given that n n\,n is an integer, express 32−n5−18\displaystyle \frac{\sqrt{32}-n}{5-\sqrt{18}}5−1832−n in the form a+b2a+b\sqrt{2}a+b2 where a a\,a and b b\,b are rational expressions in terms of nnn.
134 exam-style questions on Edexcel AS Level Maths Algebraic Expressions, covering 1.1 Index Laws, 1.2 Expanding Brackets, 1.3 Factorising, 1.4 Negative and Fractional Indices, and 1.5 Surds. Each one has a worked solution and a mark scheme showing where the marks go.