SOLUTION: Evaluate √(-5+12i) (or) (-5+12i)½ ?

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Question 1098569: Evaluate √(-5+12i) (or) (-5+12i)½ ?
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Let , so then

So then in this case,
1.
2.
From 2,



Substituting into 1,



Use a substitution,



So there are two u solutions,


Since we assume that and are real numbers we only solve for this solution.
The other would lead to an imaginary number.
So then when ,


When ,

,
From eq. 2, the product is positive so a and b have the same sign.
and


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