Question

Find the geometric mean of each pair of numbers. 6 and 24

   Find the geometric mean of each pair of numbers.
6 and 24

Geometry

Edward Burger, David… 1st Edition

Chapter 8, Problem 85

Instant Answer

Solved by Expert Mrinal Rana

04/11/2020

Step 1

In this case, the numbers are 6 and 24. So, we multiply these two numbers together: \[6 \times 24 = 144\] Show more…

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Find the geometric mean of each pair of numbers. 6 and 24

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Key Concepts

Product

The product is the result obtained by multiplying two numbers. In the calculation of the geometric mean, the product of the numbers is computed first, forming the basis for further calculation by taking its square root when finding the mean of two numbers.

Square Root

The square root operation finds a number that, when multiplied by itself, yields the original product. In the context of computing the geometric mean for two numbers, the square root is used to reverse the squaring effect of multiplying the two numbers together.

Geometric Mean

The geometric mean is a type of average that is calculated by multiplying the numbers and then taking the nth root of the product, where n is the number of values. It is particularly useful for sets of positive numbers whose values have different ranges or are multiplied together, such as growth rates.

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