## math_crasher Group Title what is the geometric mean of 3 and 7? one year ago one year ago

1. RiOT Group Title

To find the mean of something, you add the terms and then divide by the amount of them. So, they equal 10 and there are two of them. 10/2 = 5. The mean should be 5.

2. estudier Group Title

Square root of product

3. math_crasher Group Title

I thought I multiply the two and find the square root?

4. estudier Group Title

I repeat Square root of product

5. RiOT Group Title

Don't listen to me... O_O I may very well be wrong.

6. math_crasher Group Title

so I should square root 21?

7. estudier Group Title

Yes

8. math_crasher Group Title

but that just gets a weird number

9. estudier Group Title

If it was 3 numbers, then cube root of 3 multiplied together....

10. math_crasher Group Title

ah i see

11. estudier Group Title

It's just a different kind of average....

12. math_crasher Group Title

So would I do something like 2*square root of the product?

13. estudier Group Title

Nope, just sqrt 21, that's the GM

14. math_crasher Group Title

so I just leave it at square root 21?

15. estudier Group Title

Yup

16. math_crasher Group Title

why's that?

17. estudier Group Title

What do you mean?

18. math_crasher Group Title

why do i leave it at $\sqrt{21}$ ?

19. estudier Group Title

Is there something wrong with sqrt 21 ?

20. math_crasher Group Title

don't I have to actually sqaure root it and make it X *$\sqrt{X}$

21. math_crasher Group Title

or something like that?

22. estudier Group Title

I don't understand, the square root of 21 is roughly 4.5825, unless you are asked to give a decimal approximation, just leave it as sqrt 21

23. math_crasher Group Title

oh ok thanks

24. estudier Group Title

ur welcome