A geometric proof that \√(3), \√(5) and \√(7) are\n irrational

2020/03/14 by Ricardo A. Podestá, Podestá, Ricardo A.
Mathematics · Computer Science · #Mathematics and Applications #History and Theory of Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2003.06627

Abstract

We show geometrically that \√ n is irrational for n=3,5,7 by adapting\nTennenbaum's geometric proof that \√ 2 is irrational. We also show that\nthis method cannot be used to prove the irrationality of \√ n for a bigger\nn.\n

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