Prove using the FTA; if gcd(m, n) = 1 and mn is a perfect square, then so are m and n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
Problem 21E
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Prove using the FTA; if gcd(m, n) = 1 and mn is a perfect square, then so are m and n

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