Final answer:
The geometric mean of 3 and 6 is approximately 4.24.
Step-by-step explanation:
The geometric mean is a measure of central tendency calculated by multiplying a set of values and then taking the nth root of the product, where n is the number of values. It is especially useful when dealing with proportional relationships, such as calculating the average growth rate or when values are expressed as ratios. The geometric mean provides a balanced representation of values.
The geometric mean of two numbers is the square root of their product. In this case, the two numbers are 3 and 6.
The product of 3 and 6 is 18.
Therefore, the geometric mean of 3 and 6 is the square root of 18, which is approximately 4.24.