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Find the three distinct roots of 3√64i




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 Apr 19, 2016
 #1
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z = (64i)^1/3

Algebraic form:
z = 21.3333333i

Exponential form:
z = 21.3333333 × ei 90°

Trigonometric form:
z = 21.3333333 × (cos 90° + i sin 90°)

Polar form:
r = |z| = 21.33333
φ = arg z = 90° = 0.5π

 Apr 19, 2016
 #2
avatar+37165 
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Hmmmm.....    how about:

-4i

  4 (-i) 

-4  ????

 Apr 19, 2016

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