SOLUTION: determine all the indicated roots and represent them graphically : a) (4*√2+4*√2i)^1/3

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Question 1104069: determine all the indicated roots and represent them graphically :
a) (4*√2+4*√2i)^1/3

Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
Here is a representation of

Obviously, , so .
In degrees, .

So,
.
There are complex values for .
They are complex numbers of the form
such that .
So, it will be and for .
In degrees, .
That means and
.
In degrees, .
The answers could be written as
, , and
(or you could express the angles in radians).
They can be represented as


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