To find the geometric mean between two numbers, multiply the numbers together and then take the square root of the product.
Here's a more detailed explanation:
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Multiply the two numbers: Let's say your two numbers are a and b. Multiply them together: a * b.
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Take the square root: Calculate the square root of the product you obtained in step 1. The geometric mean is √( a * b ).
Example:
Let's find the geometric mean between 4 and 9.
- Multiply: 4 * 9 = 36
- Square Root: √36 = 6
Therefore, the geometric mean between 4 and 9 is 6.
Formula:
Geometric Mean = √( a * b )
Where a and b are the two numbers.
Important Considerations:
- The geometric mean is only defined for non-negative numbers. If either a or b is negative, the geometric mean will be imaginary (unless both are negative, in which case you can take the positive root for some applications).
- The geometric mean is always between the two numbers.
