8.1 Geometric Mean Practice

Front

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

Back

The geometric mean is defined as the square root of the product of the two numbers: √(a * b).

Tags

CCSS.8.EE.A.2

Front

Calculate the geometric mean of 5 and 8.

Back

2√10.

Tags

CCSS.8.EE.A.2

Front

Calculate the geometric mean of 4 and 9.

Back

6.

Front

Calculate the geometric mean of 5 and 25.

Back

5√5.

Front

Calculate the geometric mean of 6 and 8.

Back

4√3.

Tags

CCSS.8.EE.A.2

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).

Tags

CCSS.8.EE.A.2

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).

Tags

CCSS.8.EE.A.2

Front

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

Back

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

Front

Find the geometric mean of 3 and 12.

Back

6.

Front

Find the geometric mean of 2 and 18.

Back

6√2.