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The geometric mean of two numbers is the square root of their product.
GM = √( 125 · 5 ) = √ 625 = 25
Answer:
The geometric mean of 125 and 5 is 25. 

Answer:

The geometric mean of 125 and 5 is, 25

Step-by-step explanation:

Geometric mean(GM) of two number is given by:

[tex]GM = \sqrt{ab}[/tex]

As per the statement:

Given two numbers i.e 125 and 5

then by definition we have;

[tex]GM = \sqrt{125 \cdot 5}[/tex]

⇒[tex]GM = \sqrt{625}[/tex]

⇒[tex]GM = \sqrt{(25)^2}[/tex]

⇒GM = 25

Therefore, the geometric mean of 125 and 5 is, 25

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