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

The proof of the irrationality of the \(n\)-th root of \(k\) uses congruences.

Old Node ID: 
1887
Author(s): 
Vincent P. Schielack, Jr. (Texas A and M University)
Publication Date: 
Monday, June 9, 2008
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
December, 1995
Subject(s): 
Numbers and Computation
Number Concepts
Irrational Numbers
Topic(s): 
Irrationality
Flag for Digital Object Identifier: 
Publish Page: 
Furnished by JSTOR: 
File Content: 
Rating Count: 
18.00
Rating Sum: 
51.00
Rating Average: 
2.83
Author (old format): 
Vincent P. Schielack, Jr.
Applicable Course(s): 
2.1 College Algebra
3.7 Discrete Math
4.1 Introduction to Proofs
4.3 Number Theory
Modify Date: 
Friday, August 24, 2012
Average: 2.9 (18 votes)

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