Let $z _ { 1 } = \sqrt { 2 } \left( \cos \frac { \pi } { 6 } + i \sin \frac { \pi } { 6 } \right)$

question 98

Multiple Choice

Let $z _ { 1 } = \sqrt { 2 } \left( \cos \frac { \pi } { 6 } + i \sin \frac { \pi } { 6 } \right)$ and $z _ { 2 } = \sqrt { 2 } \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)$ ) Find $Z _ { 1 } Z _ { 2 }$

• A) \(\sqrt { 2 } + i\)
• B) \(2 - 2 i\)
• C) \(\frac { \sqrt { 2 } } { 2 }\)
• D) \(2 j\)
• E)none

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