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).
368 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division. Each one has a worked solution and a mark scheme showing where the marks go.