What is the geometric mean 3 and 7?
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.
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.
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