Respuesta :

SociometricStar

Answer:

[tex]\sqrt{21}\approx4.58[/tex]

Step-by-step explanation:

We have to find the geometric mean of 3 and 7.

The geometric mean of two numbers x and y is given by

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

Substituting the known values, we get

[tex]GM=\sqrt{3\times7}[/tex]

On simplifying, we get

[tex]GM=\sqrt{21}[/tex]

[tex]GM=4.58[/tex]

The geometric mean of 3 and 7 is [tex]\sqrt{21}\approx4.58[/tex]

A geometric mean is the average of a set of products the correct solution of the geometric mean 3 and 7 is √21.

What is the geometric mean?

A geometric mean is the average of a set of products, the calculation of which is commonly used to determine the performance. It is technically defined as the nth root product of n numbers. It must be used when working with percentages, which are derived from the values, while standard arithmetic means work with the value themselves.

Given

The numbers are 3 and 7.

Geometric mean formula

[tex]\rm x = \sqrt{ab}[/tex]

where x is the geometric mean

To find

The geometric mean is to be calculated.

How to find the geometric mean of 3 and 7?

Here a = 3 and b = 7 then the Geometric mean will be

[tex]\rm x = \sqrt{ab} \\\\x = \sqrt{3*7} \\\\x = \sqrt{21}[/tex]

Thus, the Geometric mean is √21.

More about the Geometric mean link is given below.

https://brainly.com/question/401236

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