How do you find the geometric mean for the pair of numbers: 1/12 , 1/18?

1 Answer
sente
Feb 26, 2016

Multiply the pair of numbers and take their square root to find the geometric mean to be

#1/6sqrt(1/6)~~14.697#

Explanation:

The geometric mean of a set of #n# numbers is the #n^"th"# root of the product of all of the numbers. In this case, we have two numbers, and thus take the square root of their product.

#"geometric mean" = sqrt(1/12*1/18)#

#=sqrt((1/6)^2*1/6#

#=1/6sqrt(1/6)~~14.697#

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