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A SIMPLE PROOF OF THE GEOMETRIC-ARITHMETIC MEAN INEQUALITY
This document presents a simple proof of the geometric-arithmetic mean inequality in 3 steps. It begins by stating the geometric-arithmetic mean inequality and an equivalent form. It then introduces a lemma about two numbers and their products. Finally, it proves the inequality using induction and iterative application of the lemma. The proof shows that the inequality is a result of iteratively applying the lemma.
