9.3 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

Find the geometric mean for 4 and 16.

Back

The geometric mean is √(4 * 16) = √64 = 8.

Tags

CCSS.8.EE.A.2

Front

If the geometric mean of x and 25 is 15, what is x?

Back

x = (15^2) / 25 = 9.

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 (x1 * x2 * ... * xn)^(1/n).

Tags

CCSS.HSF-IF.C.8B

Front

Find the value of y if the geometric mean of 5 and y is 15.

Back

y = (15^2) / 5 = 45.

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

Calculate the geometric mean of 1 and 100.

Back

The geometric mean is √(1 * 100) = √100 = 10.

Front

If the geometric mean of 9 and y is 27, what is y?

Back

y = (27^2) / 9 = 81.

Tags

CCSS.8.EE.A.2

Front

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

Back

The geometric mean is (2 * 8 * 32)^(1/3) = 8.

Tags

CCSS.8.EE.A.2

Front

Find the missing length indicated if the geometric mean of 12 and x is 24.

Back

x = (24^2) / 12 = 48.