Prove by contradiction that the sum of a rational number and an irrational number is irrational, showing that the irrational number would have to be equal to a rational number in the form mn\displaystyle \frac{m}{n}nm, where m,n m,n\,m,n are integers and n≠0n\ne0n=0
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.