Show that (2−3)(2+3)=1(2 - \sqrt{3})(2 + \sqrt{3}) = 1(2−3)(2+3)=1
Hence show that 2+32−3\displaystyle \frac{2 + \sqrt{3}}{2 - \sqrt{3}}2−32+3 can be written as 7+437 + 4\sqrt{3}7+43
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.