Geometric Mean

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

How do you calculate the geometric mean of 4 and 9?

Back

The geometric mean of 4 and 9 is √(4*9) = √36 = 6.

Front

What is the formula for finding the geometric mean of n numbers?

Back

The geometric mean of n numbers x1, x2, ..., xn is given by (x1 * x2 * ... * xn)^(1/n).

Front

If the geometric mean of two numbers is 8 and one of the numbers is 4, what is the other number?

Back

Let the other number be x. Then, √(4*x) = 8. Squaring both sides gives 4*x = 64, so x = 16.

Tags

CCSS.8.EE.A.2

Front

What is the geometric mean of 6 and 8?

Back

The geometric mean of 6 and 8 is √(6*8) = √48 = 4√3.

Tags

CCSS.8.EE.A.2

Front

If x = 4, what is the geometric mean of x and 16?

Back

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

Tags

CCSS.8.EE.A.2

Front

What is the geometric mean of 1 and 25?

Back

The geometric mean of 1 and 25 is √(1*25) = √25 = 5.

Tags

CCSS.8.EE.A.2

Front

How do you find the geometric mean of three numbers: 2, 8, and 18?

Back

The geometric mean is (2*8*18)^(1/3) = 12.

Tags

CCSS.8.EE.A.2

Front

What is the geometric mean of 3 and 12?

Back

The geometric mean of 3 and 12 is √(3*12) = √36 = 6.

Tags

CCSS.8.EE.A.2

Front

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

Back

Let the other number be y. Then, √(5*y) = 10. Squaring both sides gives 5*y = 100, so y = 20.

Tags

CCSS.8.EE.A.2