Question

Find the geometric mean of 2, 4 and 8

Answer 1

Answer:

4

EXPLANATION:

( 8 * 4 * 2 * )^ 1/3 = 64 ^ 1/3

= (4 ^3) ^1/3

= 4.

Answer 2

Answer:

The geometric mean of $2,4,8$ is $4$.

Step-by-step explanation:

Let the geometric mean be $G$

Then,

$G=(2*4*8)^{\frac{1}{3}$

$=(2*2*2*2*2*2)^{\frac{1}{3}$

$=(2^6)^{\frac{1}{3}$

$=2^2$

$=4$

Hence, the geometric mean is $4$.

Geometric mean:

The geometric mean in mathematics is an average that, by using the product of the values of the numbers, shows the central tendency or usual value of a set of numbers.

For n terms, The nth root of the product of all the data values is the geometric mean of data values.