Write 184−7\displaystyle \frac{18}{4-\sqrt{7}}4−718 in the form a+b7a+b\sqrt{7}a+b7, 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.