• Corpus ID: 115166938

Irrationality From The Book

@article{Miller2009IrrationalityFT,
  title={Irrationality From The Book},
  author={Steven J. Miller and David Montague},
  journal={arXiv: History and Overview},
  year={2009}
}
We generalize Tennenbaum's geometric proof of the irrationality of sqrt(2) to sqrt(n) for n = 3, 5, 6 and 10. Modified version published in Mathematics Magazine \textbf{85} (2012), no. 2, 110--114. 

Figures from this paper

A geometric proof that $\sqrt{n}$ is irrational for $n$ not a square

For any positive integer $n$ which is not a square we show geometrically that $\sqrt n$ is irrational by generalizing Tennenbaum's geometric proof that $\sqrt 2$ is irrational.

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