5. Prove by contradiction that the sum of a rational number and an irrational number is irrational. (Total for question 5 is 6 marks). 1. Use proof by ...

Proof by Contradiction Example Questions ; Question 1: Prove by contradiction that if n^2 is an odd integer, then n must be odd. [4 marks] ; Question 2: Prove by ...

You will find in most cases that proof by contradiction is easier.) 1. Suppose ne Z. If n is odd, then n² is odd. 2. Suppose ne Z.

Proof by Contradiction (A Level only) (OCR A Level Maths: Pure). Exam Questions. 2 hours 25 questions. Download. All answers. Easy. Medium. Hard. Very Hard.

10. Use proof by contradiction to show that, given a rational number a and an irrational number b, a − b is irrational. Begins the proof by assuming the ...

Complete the following proof by contradiction to show that √3 is irrational. Assume that √3 is rational. Then √3 may be written in the form where a and b are ...

Use proof by contradiction to show that if n2 is an even integer then n is also an even integer. (4 marks) b. Prove that √2 is irrational. (6 marks). 5. Use ...

Use proof by contradiction to show that if a b + is a multiple of 4 , then a b − cannot be a multiple of 4 . a by 5 is either 1 or 4.

Proof by Contradiction (Edexcel International A Level Maths: Pure 4). Exam Questions. 2 hours 25 questions. Download. All answers. Easy. Medium. Hard.

Use contradiction to prove each of the following propositions. Proposition. The sum of a rational number and an irrational number is irrational. Proposition.