Answer:
The geometric mean of 125 and 5 is, 25
Step-by-step explanation:
Geometric mean(GM) of two number is given by:
\(GM = \sqrt{ab}\)
As per the statement:
Given two numbers i.e 125 and 5
then by definition we have;
\(GM = \sqrt{125 \cdot 5}\)
⇒\(GM = \sqrt{625}\)
⇒\(GM = \sqrt{(25)^2}\)
⇒GM = 25
Therefore, the geometric mean of 125 and 5 is, 25