SOLUTION: 1.explain how to determine the geometric mean between 16 and 36.

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Question 1185941: 1.explain how to determine the geometric mean between 16 and 36.
Found 3 solutions by josgarithmetic, Theo, ikleyn:
Answer by josgarithmetic(39623) About Me  (Show Source):
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
you multiply the numbers together and then take the nth root to get the geometric mean.

n is the number of terms.

16 * 36 = 576

there are 2 terms.

576 ^ (1/2) = 24.

the geometric mean is 24.

here's a reference on geometric mean.

https://www.statisticshowto.com/geometric-mean-2/

the examples in there are very informative.

here's another reference that shows where the geometric mean is applicable.

https://www.math.toronto.edu/mathnet/questionCorner/geomean.html


Answer by ikleyn(52832) About Me  (Show Source):
You can put this solution on YOUR website!
.


For two given positive numbers  x  and  y  their geometric mean is the square root of their product:   GM(x,y) = sqrt%28x%2Ay%29.


For the numbers  16  and  36,  their geometric mean is the number   sqrt%2816%2A36%29 = sqrt%284%5E2%2A6%5E2%29 = sqrt%28%284%2A6%29%5E2%29 = sqrt%2824%5E2%29 = 24.             ANSWER


On geometric mean,  see the lesson
    - WHAT IS Geometric mean
in this site.


Consider this lesson as your textbook,  handbook,  tutorials and  (free of charge)  home teacher.