What is the geometric mean of

the pair of numbers?
99 and 11
(1 point)

1 answer

The geometric mean of two numbers \(a\) and \(b\) is given by the formula \(\sqrt{a \cdot b}\).

Let's calculate the geometric mean of 99 and 11:

\[ \sqrt{99 \cdot 11} \]

First, multiply 99 and 11:

\[ 99 \cdot 11 = 1089 \]

Next, find the square root of 1089:

\[ \sqrt{1089} = 33 \]

Therefore, the geometric mean of 99 and 11 is \(33\).