Find the principal root. Express the result in the form a+bi. (-2 + i)^1/4

Question

anonymous · Answer

@jdoe0001 @jim_thompson5910

jdoe0001 · Answer

I'd think the same as before
only difference is that, you have a binomial and thus you'd need to do a binomial expansion and simplify

anonymous · Answer

|dw:1423098269707:dw|

anonymous · Answer

thats r right?

jdoe0001 · Answer

hmm ohh .... lemme dunno... lemme do it

anonymous · Answer

its ok if you cant get it

jdoe0001 · Answer

hm   checkking my refs.... on rational exponents for expansion

anonymous · Answer

this is powers and roots of complex numbers

jdoe0001 · Answer

hmmm ..   I see..so you won't expand

anonymous · Answer

r(cos(?) + isin(?))^4 and keep going on from there

anonymous · Answer

idk its weird

jdoe0001 · Answer

hmmm those are sorta simpler, by just using De Moivre's theorems

anonymous · Answer

yeah you use that n get a+ bi

jdoe0001 · Answer

hmm anyhow....  need to dash for now
but somehow I don't think the above is correct though... maybe you would want to repost
or tag jim_thompson5910

anonymous · Answer

thnx @jdoe0001 for trying. @jim_thompson5910 i need help