six geometric means between √2 and 32√2.
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Answer:
Step-by-step explanation:
Example: What is the Geometric Mean of 2 and 18?
First we multiply them: 2 × 18 = 36
Then (as there are two numbers) take the square root: √36 = 6
In one line:
Geometric Mean of 2 and 18 = √(2 × 18) = 6
It is like the area is the same!
Example: What is the Geometric Mean of 10, 51.2 and 8?
First we multiply them: 10 × 51.2 × 8 = 4096
Then (as there are three numbers) take the cube root: 3√4096 = 16
In one line:
Geometric Mean = 3√(10 × 51.2 × 8) = 16
It is like the volume is the same: