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).

Front

Calculate the geometric mean of 4 and 9.

Back

6

Front

Calculate the geometric mean of 3 and 9.

Back

3√3

Front

If the geometric mean of x and 16 is 8, what is x?

Back

16

Front

Solve for x if the geometric mean of x and 12 is 6.

Back

x = 4.

Front

What is the geometric mean of 1 and 25?

Back

5.

Front

If the geometric mean of 2 and x is 4, what is x?

Back

x = 8.

Front

What is the relationship between the arithmetic mean and geometric mean of two numbers?

Back

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

Front

Calculate the geometric mean of 5 and 20.

Back

10.

Front

If the geometric mean of 9 and x is 15, what is x?

Back

x = 25.