Final answer:
The geometric mean of 9 and 9/4 is found by multiplying the two numbers to get 81/4 and then taking the square root of the product, which results in 9/2.
Step-by-step explanation:
The question asks us to determine the geometric mean of the numbers 9 and 9/4. The geometric mean of two numbers is calculated by multiplying them together and then taking the square root of the product. Let's perform the calculation step by step:
- Multiply the two numbers: 9 * (9/4) = 81/4.
- Take the square root of the product: √(81/4) = √81 / √4 = 9/2.
Therefore, the geometric mean of 9 and 9/4 is 9/2.