SOLUTION: how can you show that √3+i/2 is a cube root of i

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Question 235867: how can you show that √3+i/2 is a cube root of i
Answer by josmiceli(3007) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Argand plane where multiplication
is done by multiplying amplitudes and adding
angles of the rotating vectors
= angle 30 degrees
angle 30 degrees = angle 30 degrees

= angle 90 degrees
angle 90 degrees = angle degrees
angle 90 degrees = angle 90 degrees
It is best to draw this. The advantage is that the exponent could
be any size and you just add angles and raise 1 number to a power