Question

question 2 (1 point)
find the geometric mean for 5 and 9.

blank 1:

Explanation:

Step1: Recall geometric mean formula

The geometric mean of two numbers \(a\) and \(b\) is \(\sqrt{ab}\).

Step2: Substitute values

Here, \(a = 5\) and \(b = 9\), so we calculate \(\sqrt{5\times9}\).

Step3: Simplify the expression

\(5\times9 = 45\), so the geometric mean is \(\sqrt{45}\), which simplifies to \(3\sqrt{5}\) (or approximately \(6.708\)).

Answer:

\(3\sqrt{5}\) (or \(\sqrt{45}\) or approximately \(6.71\))