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).
107 exam-style questions on WJEC A Level Maths 3.1.1 Proof (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.