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Proof without Words: The Arithmetic-Geometric Mean Inequality for Three Positive Numbers


Claudi Alsina (Universitat Politecnia Cataluna)

This article originally appeared in:
Mathematics Magazine
April, 2000

Subject classification(s): Algebra and Number Theory | Algebra | Polynomial Equations
Applicable Course(s): 4.11 Advanced Calc I, II, & Real Analysis

A visual proof is given for the arithmetic mean -- geometric mean inequality for three numbers.

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