find a geometric means between 4096 and 972? my answers is (0.75)^4 if it wrong can you give the right answer and show the work as simple as you can. thank you

Answer 1

we want the square root of their product
sqrt (4096 * 972)
I do not like those big numbers so let's look for a common factor like maybe 4
yes, 4 works
sqrt [(1024*4)* (243*4) ]
= 4 sqrt (1024*243)
hmm, try 4 again
1024/4 = 256
so take 2 out
= 8 sqrt (256*243)
well we could probably divide 256 by 16 and take another 4 out but this is easy enough now
= 1995

Answer 2

thank you