Show that 53+2\displaystyle \frac{\sqrt{5}}{\sqrt{3}+\sqrt{2}}3+25 can be written in the form a−b\sqrt{a}-\sqrt{b}a−b, where a a\,a and b b\,b are integers.
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.