Use proof by contradiction to prove that 5\sqrt{5}5 is irrational.
(You may assume that if nnn is an integer and n2n^2n2 is a multiple of 5, then nnn is a multiple of 5).
Practise AQA A Level Maths 1.4 A: Proof with exam-style questions for A Level Maths. 107 questions covering 1.4.1 Structure and methods of proof, matched to the AQA A Level Maths (7357) 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.
