## anonymous 4 years ago what is the geometric mean of 3 and 7?

1. anonymous

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. anonymous

Square root of product

3. anonymous

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

4. anonymous

I repeat Square root of product

5. anonymous

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

6. anonymous

so I should square root 21?

7. anonymous

Yes

8. anonymous

but that just gets a weird number

9. anonymous

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

10. anonymous

ah i see

11. anonymous

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

12. anonymous

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

13. anonymous

Nope, just sqrt 21, that's the GM

14. anonymous

so I just leave it at square root 21?

15. anonymous

Yup

16. anonymous

why's that?

17. anonymous

What do you mean?

18. anonymous

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

19. anonymous

Is there something wrong with sqrt 21 ?

20. anonymous

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

21. anonymous

or something like that?

22. anonymous

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. anonymous

oh ok thanks

24. anonymous

ur welcome