# Math Bite: A Quick Counting Proof of the Irrationality of $\sqrt[n]{k}$

by Vincent P. Schielack, Jr. (Texas A and M University)

Mathematics Magazine
December, 1995

Subject classification(s): Numbers and Computation | Number Concepts | Irrational Numbers
Applicable Course(s): 2.1 College Algebra | 3.7 Discrete Math | 4.1 Introduction to Proofs | 4.3 Number Theory

The proof of the irrationality of the $n$-th root of $k$ uses congruences.

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