What is the geometric mean of 4 and 16?

To find the geometric mean of two numbers, you multiply the numbers together and then take the square root of the result. In this case, the two numbers are 4 and 16.

First, you multiply them: 4 * 16 = 64.

Next, you take the square root of 64: √64 = 8.

Thus, the geometric mean of 4 and 16 is 8. This makes the answer correct because it accurately reflects the calculation process for the geometric mean, demonstrating understanding of the fundamental principle involved.