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[tex]\displaystyle \\ m_g = \sqrt{8 \times 2 }= \sqrt{16}= \boxed{4}[/tex]



Answer: 4

Step-by-step explanation:

We know that the geometric mean of two numbers a and b is given by :-

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

The given numbers are: a= 8 and b =2

Then the geometric mean of 8 and 2 is given by :-

[tex]GM=\sqrt{8\times2}\\\\\Rightarrow\ GM=\sqrt{16}\\\\\Rightarrow\ 4[/tex]

Hence, the geometric mean of 8 and 2 is 4.

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