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The geometric mean of the set { 12, 16 } is the square root of 192, or approximately 13.856.

To find a geometric mean from a set of numbers, you find the product of the members of the set, and then take the nth root of that product, where n equals the count of the number of members in the set.

Given the set { 12, 16 } our count is 2. Therefore, we will be taking the 2nd root (or "square root.")

SQRT( 12 * 16 )

SQRT( 192 ) or approximately 13.856

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