To find geometric mean between two numbers you have to multiply them and put them in square root.
√3 * 12 = √36 = 6
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12
8.48528137424
3 * sqrt(14)
Geometric mean of 5 and 15= √(5x15)=√75=5√3
Two numbers can have only one geometric mean. The geometric mean of 5 and 135 is +sqrt(5*135) = +sqrt(675) = 15*sqrt(3) = 25.98