What is the geometric mean between 5 and 10?

Answer

To find the geometric mean of two numbers x and y,  

it’s just (formula):

(xy)^(1/2).

That is, the square root of the product of the two numbers aforementioned.

In your case,

Answer is (5*10)^(1/2) = 5*(2)^(1/2) = 7.071067…