How do you find the geometric mean for the pair of numbers: -18, -36?

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Answer 1 · 2016-06-09T15:15:54

Geometric mean of #-18# and #-36# is #25.4556#

Geometric mean of #n# numbers is calculated by multiplying all the numbers and then taking #n^(th)# root of the product.

In other words, if numbers are #{a_1,a_2,a_3,a_4,.......,a_n}# is

#root(n)(a_1xxa_2xxa_3xxa_4xx.......xxa_n)#

For two numbers it would be #sqrt(a_1xxa_2)#

As numbers are #-18# and #-36#

Geometric mean is #sqrt((-18)xx(-36))#

= #sqrt(18xx18xx2)=18sqrt2=18xx1.4142=25.4556#