Without using a calculator, prove that 35>2113\sqrt{5} > 2\sqrt{11}35>211, giving the exact value of 135−211\dfrac{1}{3\sqrt5-2\sqrt{11}}35−2111.
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.