Question

What is the Geometric Mean of 12, 30, and 75?

• A. 25
• B. 60
• C. 30
• D. 28

Hint:

To find the geometric mean, multiply the numbers together and take the \( n \)-th root, where \( n \) is the number of numbers.

Answer 1

The Correct Option is C

The geometric mean of \( n \) numbers is given by: \[ \text{Geometric Mean} = \sqrt[n]{x_1 x_2 \cdots x_n}. \] For the numbers 12, 30, and 75, the geometric mean is: \[ \text{Geometric Mean} = \sqrt[3]{12 \times 30 \times 75} = \sqrt[3]{27000} = 30. \]