SOLUTION: Hi There I'm really struggling with this question. How do i multiply the square root and fraction Find all possible roots of the complex number [27/2*(√3 +j)]^1/3 Than

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Question 1136614: Hi There
I'm really struggling with this question. How do i multiply the square root and fraction
Find all possible roots of the complex number [27/2*(√3 +j)]^1/3
Thanks

Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
Answer by ikleyn(52798)   (Show Source): You can put this solution on YOUR website!
.

The number under the cubic root is  .


Present it in the trigonometric form.


The modulus is   =  = 27.


The argument is   = 30°.


Now apply the de Moivre's formula.


The third degree roots of your number are 


    1)  3*cis(10°) = ;


    2)  3*cis(130°) = ;


    3)  3*cis(250°) = .

Solved.


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