Given that k k\,k is an integer, express 50−k6−8\displaystyle \frac{\sqrt{50}-k}{6-\sqrt{8}}6−850−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.
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.