Trigonometry

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Difficult

Complex Numbers, Cube Roots, Integer

TRIG-SV2YKS

What are the three cube roots of $27$?

A

$3,\quad 2.997+0.109i,\quad 2.997-0.109i$

B

$3,\quad -2.268+1.964i,\quad -0.567-2.946i$

C

$3,\quad \cfrac { 3\sqrt { 3 } }{ 2 } -i\cfrac { 3 }{ 2 } ,\quad -\cfrac { 3\sqrt { 3 } }{ 2 } -i\cfrac { 3 }{ 2 } $

D

$3,\quad -\cfrac { 3 }{ 2 } -i\cfrac { 3\sqrt { 3 } }{ 2 } ,\quad -\cfrac { 3 }{ 2 } -i\cfrac { 3\sqrt { 3 } }{ 2 }$