Question

question 9 (1 point)
find the geometric mean for 2 and 25.
blank 1:

Explanation:

Step1: Recall geometric mean formula

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

Step2: Substitute \(a = 2\) and \(b = 25\)

Calculate \(ab=2\times25 = 50\), then the geometric mean is \(\sqrt{50}\). Simplify \(\sqrt{50}=\sqrt{25\times2}=5\sqrt{2}\approx7.07\) (or keep it as \(\sqrt{50}\) or \(5\sqrt{2}\)).

Answer:

\(5\sqrt{2}\) (or approximately \(7.07\) or \(\sqrt{50}\))