Final answer:
The geometric mean of 3 and 48 is calculated by taking the square root of their product, which gives us 12.
Step-by-step explanation:
To find the geometric mean of two numbers, you use the square root of the product of those two numbers. For the numbers 3 and 48, this process would look like the following:
Geometric Mean = √(3 × 48) = √144 = 12.
Therefore, the geometric mean of 3 and 48 is 12, which corresponds to Option 4.