Write 143−2\displaystyle \frac{14}{3-\sqrt{2}}3−214 in the form a+b2a+b\sqrt{2}a+b2, where a a\,a and b b\,b are integers to be found.
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.