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

Using the formula: $$\text{sqrt}(16 \times x) = 8$$ . Squaring both sides gives $$16x = 64$$ , so $$x = 4$$ .

Calculate the geometric mean of 1 and 100.

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

If the geometric mean of 36 and y is 18, what is y?

Using the formula: $$\text{sqrt}(36 \times y) = 18$$ . Squaring both sides gives $$36y = 324$$ , so $$y = 9$$ .

What is the geometric mean of 2, 8, and 32?

The geometric mean is $$\text{sqrt[3]}(2 \times 8 \times 32) = \text{sqrt[3]}(512) = 8$$ .

Find the geometric mean of 3 and 27.

The geometric mean is $$\text{sqrt}(3 \times 27) = \text{sqrt}(81) = 9$$ .

If the geometric mean of 5 and z is 15, what is z?

Using the formula: $$\text{sqrt}(5 \times z) = 15$$ . Squaring both sides gives $$5z = 225$$ , so $$z = 45$$ .

What is the geometric mean of 12 and 48?

The geometric mean is $$\text{sqrt}(12 \times 48) = \text{sqrt}(576) = 24$$ .

If the geometric mean of 2 and x is 6, what is x?

Using the formula: $$\text{sqrt}(2 \times x) = 6$$ . Squaring both sides gives $$2x = 36$$ , so $$x = 18$$ .

Geometric Mean Practice Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the geometric mean of two numbers a and b?

Back

Tags

CCSS.8.EE.A.2

2.

FLASHCARD QUESTION

Front

If the geometric mean of 4 and N is 6, what is N?

Back

Tags

CCSS.8.EE.A.2

3.

FLASHCARD QUESTION

Front

Calculate the geometric mean of 9 and 16.

Back

Tags

CCSS.8.EE.A.2

4.

FLASHCARD QUESTION

Front

What is the formula to find the geometric mean of three numbers a, b, and c?

Back

Tags

CCSS.8.EE.A.2

5.

FLASHCARD QUESTION

Front

Find the geometric mean of 25 and 49.

Back

Tags

CCSS.8.EE.A.2

6.

FLASHCARD QUESTION

Front

If the geometric mean of x and 36 is 12, what is x?

Back

Tags

CCSS.8.EE.A.2

7.

FLASHCARD QUESTION

Front

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

Back

The arithmetic mean is always greater than or equal to the geometric mean for non-negative numbers.

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