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Experiments in the Irrationality of Sqrt 2 with SMT | Hey There Buddo!
https://www.philipzucker.com/sqrt2/
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A classical theorem is that $\sqrt{2}$ is irrational. https://en.wikipedia.org/wiki/Square_root_of_2#Proofs_of_irrationality This means it cannot be written as $\frac{p}{q}$ for integers $p$ and $q$.