## Falling_In_Katt one year ago The geometric mean of 8 and 2 is 4. True or False

1. mathmate

hint: geometric mean of x1 and x2 is equal to $$\sqrt{x1\times x2}$$ So you can verify what the geometric mean of 2 and 8 should be.

2. mathstudent55

x is the geometric mean of a and b if a is to x as x is to b, or $$\dfrac{a}{x} = \dfrac{x}{b}$$ Then when you take the cross products and set them equal, you get: $$x^2 = ab$$ Solving for x, you get: $$x = \sqrt{ab}$$

3. mathstudent55

In your problem, use 8 and 2 as a and b, and solve for x.

4. Falling_In_Katt

True?

5. mathstudent55

yes