Question 1
Prove that √3 is irrational.
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Specialist Mathematics · Unit 1 · Introduction to proof · Rational and irrational numbers
Prove irrationality by contradiction.
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Question 2
When using proof by contradiction to show that $\sqrt{7}$ is irrational, after assuming $\sqrt{7} = \frac{p}{q}$ where $p$ and $q$ are integers with no common factors and $q \neq 0$, the next step in the proof requires showing that
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Question 3
Use proof by contradiction to prove that \(\sqrt{6}\) is irrational.
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