Respuesta :

Answer:

[tex]4\sqrt{14}[/tex]

Step-by-step explanation:

1) Multiply the numbers together.

8 times 8 = 224

2) Find the square root of the result. Then break it down into its prime factors.

[tex]\sqrt{224} = \sqrt{2x2x2x2x2x7}[/tex] (pretend the x's are multiplication signs)

3) Simplify.

[tex]4\sqrt{14}[/tex]

The geometric mean of 8 and 28 is [tex]4\sqrt{14}[/tex]

Calculation of geometric mean:

Since there are two numbers i.e. 8 and 28

So, the geometric mean is

[tex]= \sqrt{8\times 28}\\\\ = \sqrt224[/tex]

= [tex]4\sqrt{14}[/tex]

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