Final answer:
The geometric mean of 6 and 24 is 12 (Option B).
Step-by-step explanation:
The geometric mean of two numbers is the square root of their product. To find the geometric mean of 6 and 24, multiply the two numbers: 6 * 24 = 144. Then, take the square root of 144 to find the geometric mean: √144 = 12. Therefore, the geometric mean of 6 and 24 is 12 (Option B).