Show that 7+353−5\displaystyle \frac{7 + 3\sqrt{5}}{3 - \sqrt{5}}3−57+35 can be written in the form a+b5a + b\sqrt{5}a+b5, 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.