Find Roots of Complex Numbers in Polar Form
-The Complex $2 \left( \cos \frac { 2 \pi } { 3 } + i \sin \frac { 2 \pi } { 3 } \right)$

question 222

Multiple Choice

Find Roots of Complex Numbers in Polar Form
-The complex square roots of $2 \left( \cos \frac { 2 \pi } { 3 } + i \sin \frac { 2 \pi } { 3 } \right)$ (rectangular form)

• A) \(\frac { \sqrt { 2 } } { 2 } + \frac { \sqrt { 6 } } { 2 } i , - \frac { \sqrt { 2 } } { 2 } - \frac { \sqrt { 6 } } { 2 } i\)
• B) \(\frac { \sqrt { 2 } } { 2 } - \frac { \sqrt { 6 } } { 2 } i , - \frac { \sqrt { 2 } } { 2 } + \frac { \sqrt { 6 } } { 2 } i\)
• C) \(\sqrt { 6 } + \sqrt { 2 } i , - \sqrt { 6 } - \sqrt { 2 } i\)
• D) \(6 - 2 \mathrm { i } , - 6 - 2 \mathrm { i }\)

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