Verified Answer :

Answer:

\(\sqrt{21}\approx4.58\)

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

\(GM=\sqrt{xy}\)

Substituting the known values, we get

\(GM=\sqrt{3\times7}\)

On simplifying, we get

\(GM=\sqrt{21}\)

\(GM=4.58\)

The geometric mean of 3 and 7 is \(\sqrt{21}\approx4.58\)

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

\(\rm x = \sqrt{ab}\)

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

\(\rm x = \sqrt{ab} \\\\x = \sqrt{3*7} \\\\x = \sqrt{21}\)

Thus, the Geometric mean is √21.

More about the Geometric mean link is given below.

https://brainly.com/question/401236