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

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.

20 pages

References in corpus (2)

• A natural construction for the real numbers
• The Eudoxus Real Numbers

Cited by in corpus (2)

• A new approach to the real numbers
• Rethinking real numbers as infinite decimals