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What is the geometric mean of 8 and 18?

1 Answer
Apr 18, 2016

Answer:

#12#

Explanation:

The geometric mean of two positive numbers #a# and #b# is #sqrt(ab)#. The ratio #a:sqrt(ab)# is equal to the ratio #sqrt(ab):b#.

So the geometric mean of #8# and #18# is:

#sqrt(8*18) = sqrt(144) = 12#

Notice that #12/8 = 3/2 = 18/12#