Geometric Mean

Front

What is the geometric mean of two numbers?

Back

The geometric mean of two numbers a and b is the square root of their product, calculated as √(a*b).

Tags

CCSS.8.EE.A.2

Front

Calculate the geometric mean of 6 and 8.

Back

4√3

Tags

CCSS.8.EE.A.2

Front

If x = 2√6, what is the value of x squared?

Back

x² = 24.

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, calculated as (x₁ * x₂ * ... * xₙ)^(1/n).

Tags

CCSS.8.EE.A.2

Front

Solve for x: x² = 33.

Back

x = √33.

Tags

CCSS.8.EE.A.2

Front

What is the geometric mean of 5 and 2?

Back

√(5*2) = √10.

Front

If the geometric mean of two numbers is 4, what could the numbers be?

Back

Possible pairs include (2, 8) or (4, 4).

Tags

CCSS.8.EE.A.2

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.

Front

Solve for x: x² = 16.

Back

x = 4 or x = -4.

Tags

CCSS.8.EE.A.2

Front

What is the geometric mean of 12 and 16?

Back

√(12*16) = 4√3.

Tags

CCSS.8.EE.A.2