Suppose s and t are distinct natural numbers. Show that lcm(s, t) + lcm(s+1, t+1) > 2st/(sqr(|s − t|)).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 56E
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Suppose s and t are distinct natural numbers.

Show that lcm(s, t) + lcm(s+1, t+1) > 2st/(sqr(|s − t|)).

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