Question

find the geometric mean between 3 and 48

Answer 1

multiply the terms together and take the "nth" root where n is the number of terms; in this case 2

Answer 2

12

Answer 3

another way of doing it is to multiply all the "nth" roots of each term together since:

sqrt(a*b) = sqrt(a) * sqrt(b) :)

Answer 4

but that way seems a bit convoluted at best

Answer 5

The geometric mean of 3 an 48 is 12 [√(3 x 48) = √144 = 12