Question

Find the geometric mean of each pair of numbers. If necessary, give the answer in
simplest radical form.

5 and 12

Answer 1

The geometric mean would be: \(\sqrt{5\cdot12}=\sqrt{60}=2\sqrt{15}\)

Answer 2

In case you're wondering how the other poster went from \(\sqrt{60}\) to \(2\sqrt{15}\):

\[\sqrt{60} = \sqrt{4*15} = \sqrt{4}*\sqrt{15} = 2*\sqrt{15} = 2\sqrt{15}\]