Question

b. find the geometric mean of 4 and 10.
20
√14
2√10
7

Explanation:

Step1: Recall geometric - mean formula

The geometric mean of two positive numbers \(a\) and \(b\) is \(\sqrt{ab}\). Here \(a = 4\) and \(b=10\).

Step2: Calculate the product

\(ab=4\times10 = 40\).

Step3: Find the square - root

\(\sqrt{ab}=\sqrt{40}\), and \(\sqrt{40}=\sqrt{4\times10}=2\sqrt{10}\).

Answer:

\(2\sqrt{10}\)