1. royal

12 sqrt (-3)^12 12 sqrt (531,441) 12*729 8748.

2. raheen

12(-3)^6 =8748

3. jim_thompson5910

$\Large \sqrt[12]{(-3)^{12}}=|-3|=3$ So $\Large \sqrt[12]{(-3)^{12}}=3$

4. seekevinella

12(-3)^6 =8748

5. beloved

Raheen and Royal, what do you think about Jim's response?

6. jim_thompson5910

I'm assuming that 12 sqrt refers to the 12th root

7. beloved

Yes, it does. You wrote the problem out correctly. 3 other people had the same answer, so I'm wondering if they misunderstood the way i wrote the proble, not that I'm questioning your answer. (*.*)

8. jim_thompson5910

ok, then the answer I have is correct they're thinking it's 12 times the square root of (-3)^12

9. beloved

ok, thanks for the clarity!

10. royal

Yes, I thought it was 12 times the square root of (-3)^12. Sorry. Jim, how do you know if it refers to 12th root? Just curious, I am still learning! :)

11. jim_thompson5910

i've just seen problems like this for a long time, so practice I guess

12. beloved

So Jim...DId I type it incorrectly, and if so how should I have typed it?

13. jim_thompson5910

type either root(12,(-3)^12) or 12th root of (-3)^12 If in doubt or you forget, then just verbally describe it (eg: "There's a square root with a little 12 on top of the square root up to the left. Under the square root is (-3)^12"). Sure that may seem a bit wordy, but it's probably the most natural way to do it.

14. jim_thompson5910

or you can draw it (probably a better way) |dw:1316842743847:dw|

15. beloved

Wow...Ok, I see! Thank you!

16. beloved

If there is no number on the outside, but only on the inside, how would I write that? I like: 12th root of -3^12 best; so how would I write that in that format if there was no 12 on the outside?

17. jim_thompson5910

sqrt( (-3)^12) OR square root of (-3)^12 OR draw it |dw:1316843406478:dw|

18. beloved

how would i write that in the 12th root of -3 ^ 12 format? would it be root of -3^12

19. jim_thompson5910

you can say root of (-3)^12 or radical (-3)^12 radical is another name for root

20. jim_thompson5910

square root is more specific

21. beloved

Great! You just enlightened me!!!!! Thank you!!!!!!!! I wish I could give you another medal. Lol!

22. jim_thompson5910

lol that's ok, glad to help