Arithmetic Mean-Geometric Mean Inequality

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The Arithmetic Mean-Geometric Mean (often abbreviated AM-GM) Inequality states that the Arithmetic Mean of a set of positive real numbers is greater than or equal to the Geometric Mean of the same set of positive real numbers. For example, for the set $\{9,12,54\}$, the Arithmetic Mean, 25, is greater than the Geometric Mean, 18; AM-GM guarantees this is always the case.

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