Question

What’s the formula for the geometric mean of three numbers?

Answer 1

Geometric mean is most commonly represented as:

`√(abc)`

Answer 2

Geometric mean formula is represented by
`\sqrt[n]{\sf x_1 \cdot x_2 \cdot x_3 \cdot ... x_n}` where n resembles term position and x₁, x₂, x₃ are numbers and they continue.

The formula for geometric mean of three numbers [n = 3]:

Solution:
`\sqrt[3]{\sf x_1 \cdot x_2 \cdot x_3 }`

Example's:

Geometric mean of 5 numbers [n = 5] :
`\sqrt[5]{\sf x_1 \cdot x_2 \cdot x_3 \cdot x_4 \cdot x_5 }`

Geometric mean of 2 numbers [n = 2] :
`\sqrt[2]{\sf x_1 \cdot x_2 }`