What is the geometric mean and the arithmetic mean of 7 x sqrt3 and 21 x sqrt3?

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1028625

2026-03-26 17:40

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The arithmetic mean is simply (7+21)sqrt(3)/2 = 14sqrt(3) = 24.25 (to 2 d.p.) The geometric mean is sqrt [ 7sqrt(3) x 21sqrt(3) ] = sqrt [ 7 x 21 x 3 ] = sqrt [21 x 21] = 21

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