Simple Criteria for \(\sqrt[n]{x}\) (n \(\in\) N, n \(\ge\) 2, x \(\in\) R) Being a Rational or an Irrational Number
Bernd E. Wolfinger · Journal of Advances in Mathematics and Computer Science · 2023
This paper presents a strong generalization of Euclid’s famous result related to \(\sqrt{2}\) being an irrational number. In particular, based on the unique prime factorization of integer numbers we obtain very simple criteria which allow us to derive necessary and sufficient con...
Open access
Research Article
10.9734/jamcs/2023/v38i91801