Specialist Mathematics · Unit 1 · Introduction to proof · Rational and irrational numbers

Prove irrationality by contradiction.

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Express rational numbers as terminating or eventually recurring decimals and vice versa.

Prove results involving integers, e.g. proving that the product of two consecutive odd numbers is an odd number and 5𝑛2 + 3𝑛 + 6 ∀𝑛 ∈ ℤ is an even number.

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