## anonymous one year ago What is ^2√(-125) ?

1. anonymous

$\sqrt[2]{-125}$ It looks a little more like this XD

2. anonymous

Are you allowed to use complex numbers?

3. anonymous

Well i have to be able to write it in decimal form, but i don't know if it will be a decimal.

4. anonymous

you get me? XD

5. anonymous

yes you can write it as $$\sqrt {-125} = \a$$

6. perl

$\sqrt {-125} = \sqrt{-1} \cdot \sqrt{125}= i ~ \sqrt{125}$

7. anonymous

i don't thunk I'm cetching on..

8. perl

$\sqrt {-125} = \sqrt{-1} \cdot \sqrt{125}= i ~ \sqrt{125}\\ = i ~ 11.1803$

9. anonymous

Yeah i think thats what the question wants XD

10. anonymous

11. perl

11.1803i , but it is an approximation

12. anonymous

ok thankyou!

13. anonymous

oh apperently it has to be a two digget number.. it could be like .12, 1.2, or 12 im not sure XD

14. perl

can you take a screenshot of the question, I might have missed something

15. anonymous

i cant, im using my computer. But the question just says "What is $\sqrt[2]{-125}$ ?"

16. anonymous

$\sqrt[2]{-125}$ oops i guess it didnt go into equation form

17. perl

the simplified exact solution is $\Large 5 \sqrt 5~ i$ the approximate solution is $$\large 11.2i$$

18. anonymous

hm.. so should i just round and say the answer is 11?

19. perl

The directions don't say to round though...

20. anonymous

21. perl

22. anonymous

yeah but i can only have two numbers.. heh i dont know XD im just going to put 11

23. anonymous

do you mind helping me with 1 more?

24. perl

ok