Question

Find the geometric mean of 9 and 14. If your answer is a square root, you must simplify and include the square root.

Answer 1

`√(126)`

Explanation:

The geometric mean, often referred to as the geometric average, is a so-called specialized average and is defined as the n-th root of the product of n numbers of the same sign.

Given two numbers 9 and 14, we have n = 2

Therefore the geometric mean =
`\sqrt[2]{9 * 14}`

This is nothing the square root of (9 x 14)

9 x 14 = 126

Geometric mean of 9 and 14 is
`√(126)`