Volume no :75, Issue no: 1, April (2024)

SIMPLE CRITERIA FOR ALL n-TH ROOTS OF A NATURAL NUMBER BEING IRRATIONAL

Author's: Bernd E. Wolfinger
Pages: [23] - [31]
Received Date: March 4, 2024
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100122299

Abstract

This paper introduces a simple and straight-forward approach to determine for a given natural number whether Unlike earlier solutions, our approach does no longer rely on the knowledge of the prime factorization of If we just consider the value of the two last digits and the sum of digits of we are able to identify correctly more than 50% of all natural numbers, whose n-th roots are irrational

Keywords

number theory, n-th roots of natural numbers, irrational n-th roots: simple tests.