How to find the geometric mean?

Question

geometric mean?

The geometric mean of a certain number and 6 is 24. Find the number.

Is there a formula to calculate geometric mean? I don't know how to solve this. Please give an explanation of what the geometric mean is and how it is calculated. Thanks.

 

Answer 1

Geometric mean of two numbers is square root of their product.

Assume that the number are :

Given that :

Geometric mean

Geometric mean

Extract square root from each side

Divide each side by 6

So the 1 st number .