Write 12−3\displaystyle \frac{1}{2-\sqrt{3}}2−31 in the form a+b3a+b\sqrt{3}a+b3, where a a\,a and b b\,b are integers to be found.
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.