In this question you must show detailed reasoning.
Given that x=9+33x=9+3\sqrt{3}x=9+33, verify that x(3−3)=18x(3-\sqrt{3})=18x(3−3)=18.
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.