Prove the arithmetic-geometric mean inequality.
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Prove the arithmetic-geometric mean inequality by using an elementary method (no use of calculus, derivative or limit), that is,
(X1...Xn)^1/n <= (X1+...+Xn)/n
for non-negative real numbers X1, X2, ..., Xn.
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The expert proves an arithmetic geometric mean inequality.
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Consider the inequality
(1) (X1...Xn)^1/n <= (X1+...+Xn)/n for ...
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