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For questions related to teaching mathematics. For questions in Mathematics Education as a scientific discipline there is also the tag mathematics-education. Note you may also ask your question on http://matheducators.stackexchange.com/.

1 vote

An example of a beautiful proof that would be accessible at the high school level?

Quite elementary and quite beautiful: There exist two (infinitely many) irrational numbers $a,b$ such that $a^b$ is rational; and the usual proof with $\sqrt{2}^\sqrt{2}$. (Maybe starting with the pro …