Given that k k\,k is an integer, express 8−k2−2\displaystyle \frac{\sqrt{8}-k}{2-\sqrt{2}}2−28−k in the form a+b2a+b\sqrt{2}a+b2 where a a\,a and b b\,b are rational expressions in terms of kkk.
233 exam-style questions on Edexcel A 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.