On the irrationality of √N

József Sándor and Edith Egri
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 22, 2016, Number 3, Pages 90–91
Full paper (PDF, 107 Kb)

Details

Authors and affiliations

József Sándor
Babeș–Bolyai University
Cluj–Napoca, Romania

Edith Egri
Babeș–Bolyai University
Cluj–Napoca, Romania

Abstract

We offer a new proof of the classical fact that √N is irrational, when N is not a perfect square.

Keywords

• Perfect square
• Irrationality of square roots

AMS Classification

• 11A05
• 11J72

References

1. Ross, M. (2004) Irrational thoughts, Math. Gazette, March, 2004, pp. 68–78.
2. Aigner, M., & Ziegler, M. G. (2014) Proofs from the Book, Fifth ed., Springer-Verlag Berlin Heidelberg.