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Cauchy inequality solution: known a, B, C are positive numbers, prove: (A / B + B / C + C / a) (B / A + C / B + A / C) > = 9
a. B, C are positive numbers, so a / B, B / C, C / A, B / A, C / B, a / C are positive numbers (A / B + B / C + C / a) (B / A + C / B + A / C) > = {3 * triple radical [(A / b) * (B / C) * (C / a)]} {3 * triple radical [(B / a) * (C / b) * (A / C)]} = 3 * 3 = 9 (equal sign in a / b = B / C = C / A and B / a = C / b = A / C)
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