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).

Front

Calculate the geometric mean of 5 and 8.

Back

2√10.

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.

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).

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).

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.