Question 1185941
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For two given positive numbers  x  and  y  their geometric mean is the square root of their product:    GM(x,y) = {{{sqrt(x*y)}}}.



For the numbers &nbsp;16 &nbsp;and &nbsp;36, &nbsp;their geometric mean is the number  &nbsp;&nbsp;{{{sqrt(16*36)}}} = {{{sqrt(4^2*6^2)}}} = {{{sqrt((4*6)^2)}}} = {{{sqrt(24^2)}}} = 24.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>ANSWER</U>



On geometric mean, &nbsp;see the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Average/Geometric-Mean.lesson>WHAT IS Geometric mean</A>

in this site.



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