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arXiv · 0910.5870

Real numbers as infinite decimals and irrationality of $\sqrt{2}$

Martin Klazar
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Abstract

In order to prove irrationality of \sqrt{2} by using only decimal expansions (and not fractions), we develop in detail a model of real numbers based on infinite decimals and arithmetic operations with them.

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Martin Klazar. 2009-10-30. Real numbers as infinite decimals and irrationality of $\sqrt{2}$. https://arxiv.org/abs/0910.5870

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