What is the geometric mean of two positive numbers a and b?
8.1 Geometric Mean Practice

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The geometric mean is defined as the square root of the product of the two numbers: √(a * b).
2.
FLASHCARD QUESTION
Front
Calculate the geometric mean of 5 and 8.
Back
2√10.
3.
FLASHCARD QUESTION
Front
Calculate the geometric mean of 4 and 9.
Back
6.
4.
FLASHCARD QUESTION
Front
Calculate the geometric mean of 5 and 25.
Back
5√5.
5.
FLASHCARD QUESTION
Front
Calculate the geometric mean of 6 and 8.
Back
4√3.
6.
FLASHCARD QUESTION
Front
What is the formula for finding the geometric mean of n numbers?
Back
The geometric mean of n numbers is the n-th root of the product of the numbers: (x1 * x2 * ... * xn)^(1/n).
7.
FLASHCARD QUESTION
Front
If the geometric mean of two numbers is 10, what can you say about the numbers?
Back
The product of the two numbers is 100 (since 10^2 = 100).
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