Show that 76+5\displaystyle \frac{\sqrt{7}}{\sqrt{6}+\sqrt{5}}6+57 can be written in the form a−b\sqrt{a}-\sqrt{b}a−b, where a a\,a and b b\,b are integers.
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.