Question

The geometric mean of 2, 4, and 8 is:

• A. 2
• B. 12
• C. 8
• D. 4

Hint:

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

Answer 1

The Correct Option is D

The geometric mean (G.M.) of three numbers \( a_1, a_2, a_3 \) is given by the formula: \[ \text{G.M.} = \sqrt[3]{a_1 \times a_2 \times a_3} \] Substitute the given values \( a_1 = 2, a_2 = 4, a_3 = 8 \): \[ \text{G.M.} = \sqrt[3]{2 \times 4 \times 8} = \sqrt[3]{64} = 4 \]