Question

Find geometric mean between 3 and 6

Answer 1

Call the geometric mean ' G '.

Then (3 / G) = (G / 6)

This is a proportion, and may be "cross-multiplied":

G² = 18

G = √18 = about 4.2426... (rounded)

Answer 2

$geometric\ mean\ between \ a\ and\ b\ = \sqrt{a\cdot b} \\----------------------\\\\geometric\ mean= \sqrt{3\cdot6} = \sqrt{3\cdot3\cdot2} =3\cdot \sqrt{2}$