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 A Level Maths Algebraic Expressions with exam-style questions for A 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 A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 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.
