Respuesta :

D. Square root of 77

Answer:

The geometric mean is  [tex]\sqrt{77}[/tex]

Option D is correct.

Step-by-step explanation:

Given: 7 and 11

We need to find the geometric mean of 7 and 11.

Geometric series whose common ration is equal.

Geometric mean of two number is square root of product of two number.

If a, b and c are in GP then geometric mean is b

[tex]b=\sqrt{ac}[/tex]

The geometric mean of any two number a and b is [tex]\sqrt{ab}[/tex]

The given numbers are 7 and 11

Geometric mean is [tex]\sqrt{7\times 11}[/tex]

Geometric mean: [tex]\sqrt{77}[/tex]

Hence, The geometric mean is  [tex]\sqrt{77}[/tex]

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