Write 367−13\displaystyle \frac{36}{7-\sqrt{13}}7−1336 in the form a+b13a+b\sqrt{13}a+b13, where a a\,a and b b\,b are integers to be found.
134 exam-style questions on Edexcel AS 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.