Find All Specified Roots $i$
A) $1 , - 1 , i , - i$

question 238

Multiple Choice

Find all specified roots.
-Eighth roots of $i$ .

• A) \(1 , - 1 , i , - i\)
• B) \(\frac { 1 } { \sqrt { 2 } } + \frac { 1 } { \sqrt { 2 } } \mathrm { i } , \frac { 1 } { \sqrt { 2 } } - \frac { 1 } { \sqrt { 2 } } \mathrm { i } , - \frac { 1 } { \sqrt { 2 } } + \frac { 1 } { \sqrt { 2 } } \mathrm { i } , - \frac { 1 } { \sqrt { 2 } } - \frac { 1 } { \sqrt { 2 } } \mathrm { i }\)
• C) \(\operatorname { cis } \frac { \pi } { 16 } , \operatorname { cis } \frac { 5 \pi } { 16 } , \operatorname { cis } \frac { 9 \pi } { 16 } , \operatorname { cis } \frac { 13 \pi } { 16 } , \operatorname { cis } \frac { 17 \pi } { 16 }\), cis \(\frac { 21 \pi } { 16 } , \operatorname { cis } \frac { 25 \pi } { 16 } , \operatorname { cis } \frac { 29 \pi } { 16 }\)
• D) \(1 , - 1 , i , - i , \frac { 1 } { \sqrt { 2 } } + \frac { 1 } { \sqrt { 2 } } \mathrm { i } , \frac { 1 } { \sqrt { 2 } } - \frac { 1 } { \sqrt { 2 } } \mathrm { i } , - \frac { 1 } { \sqrt { 2 } } + \frac { 1 } { \sqrt { 2 } } \mathrm { i } , - \frac { 1 } { \sqrt { 2 } } - \frac { 1 } { \sqrt { 2 } } \mathrm { i }\)

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