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

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

2009-10-30

arxiv.org/abs/0910.5870v1

Mathematics

History and Overview

20 pages

Scientific paper

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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