In this question you must show detailed reasoning.
Express 292\displaystyle 2^{\frac{9}{2}}229 in the form aba\sqrt{b}ab, where a a\,a is an integer and b b\,b is a prime number.
Express 32−23\displaystyle \frac{\sqrt{3}}{2-2\sqrt{3}}2−233 in the form c+dec+d\sqrt{e}c+de, where c c\,c and d d\,d are rational numbers and e e\,e is a prime number.
Practise Edexcel AS Level Maths Algebraic Expressions with exam-style questions for AS Level Maths. 31 questions covering 1.1 Index Laws, 1.2 Expanding Brackets, 1.3 Factorising, 1.4 Negative and Fractional Indices, and 1.5 Surds, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.