The geometric mean of 8 and 32

A geometric mean is the n-th root of the product of n numbers.

In this case, there are 2 numbers, which means you take the square root. If there were 3 numbers, you'd take the cube-root, and so on...

First, multiply 8 and 32 to get 256. Now, take the square root of 256, which is 16. This is the geometric mean.

Answer Link

Tringa0 Tringa0 · Answer 2 · 2021-10-08T12:11:11+02:00

The geometric mean of 8 and 32 is 16.

Given :

The two numbers 8 and 32

To find:

The geometric mean of given numbers.

Solution

The geometric mean is given by the formula:

[tex]G.M=\sqrt[n]{x_1\times x_2\times x_n}[/tex]

n = num ber of terms

According to question : n = 2

The geometric mean of given numbers:

[tex]G.M=\sqrt[2]{8\times 32}\\\\G.M=\sqrt[2]{256}\\\\G.M=16[/tex]

The geometric mean of 8 and 32 is 16.

Learn more about geometric mean here:

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