If the geometric mean of two numbers is 10 and one number is 5, what is the other number?

Let the other number be y. Then, $$\text{GM} = \text{sqrt}(5 \times y) = 10$$ , leading to $$y = 20$$ .

Find z if the geometric mean of z and 30 is 15.

Using the formula: $$\text{GM} = \text{sqrt}(z \times 30) = 15$$ , we find that $$z = 7.5$$ .

What is the geometric mean of 1 and 100?

The geometric mean is $$\text{GM} = \text{sqrt}(1 \times 100) = \text{sqrt}(100) = 10$$ .

If the geometric mean of two numbers is 12 and one number is 9, what is the other number?

Let the other number be y. Then, $$\text{GM} = \text{sqrt}(9 \times y) = 12$$ , leading to $$y = 16$$ .

Find the geometric mean of 49 and 25.

The geometric mean is $$\text{GM} = \text{sqrt}(49 \times 25) = \text{sqrt}(1225) = 35$$ .

What is the relationship between the arithmetic mean and geometric mean?

For any two positive numbers, the arithmetic mean is always greater than or equal to the geometric mean: $$\text{AM} \text{(Arithmetic Mean)} \text{≥ GM}$$ .

If the geometric mean of two numbers is 8 and both numbers are equal, what are the numbers?

If both numbers are equal, then they must be 8, since $$\text{GM} = \text{sqrt}(x \times x) = x$$ .

What is the geometric mean of 16 and 64?

The geometric mean is $$\text{GM} = \text{sqrt}(16 \times 64) = \text{sqrt}(1024) = 32$$ .

B2 Geometric Mean Review

Flashcard

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

8.EE.A.2

Standards-aligned

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FLASHCARD QUESTION

Front

What is the geometric mean of two numbers?

Back

Tags

CCSS.8.EE.A.2

FLASHCARD QUESTION

Front

Find the geometric mean between 64 and 25.

Back

Tags

CCSS.8.EE.A.2

FLASHCARD QUESTION

Front

What is the formula to find the geometric mean of n numbers?

Back

FLASHCARD QUESTION

Front

If the geometric mean of two numbers is 6, what could the numbers be?

Back

Tags

CCSS.8.EE.A.2

FLASHCARD QUESTION

Front

What is the geometric mean between 81 and 4?

Back

Tags

CCSS.8.EE.A.2

FLASHCARD QUESTION

Front

Find x if the geometric mean of x and 16 is 8.

Back

Tags

CCSS.8.EE.A.2

FLASHCARD QUESTION

Front

What is the geometric mean of 36 and 64?

Back

Tags

CCSS.8.EE.A.2

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