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

question 274

Multiple Choice

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

• A) \(\frac { 1 } { \sqrt { 2 } } + \frac { 1 } { \sqrt { 2 } } \mathrm { i } , \frac { 1 } { \sqrt { 2 } } - \frac { 1 } { \sqrt { 2 } } \mathrm { i } , - \frac { 1 } { \sqrt { 2 } } + \frac { 1 } { \sqrt { 2 } } \mathrm { i } , - \frac { 1 } { \sqrt { 2 } } - \frac { 1 } { \sqrt { 2 } } \mathrm { i }\)
• B) \(1 , - 1 , i , - i\)
• 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) \(1 , - 1 , i , - i , \frac { 1 } { \sqrt { 2 } } + \frac { 1 } { \sqrt { 2 } } i , \frac { 1 } { \sqrt { 2 } } - \frac { 1 } { \sqrt { 2 } } \mathrm { i } , - \frac { 1 } { \sqrt { 2 } } + \frac { 1 } { \sqrt { 2 } } \mathrm { i } , - \frac { 1 } { \sqrt { 2 } } - \frac { 1 } { \sqrt { 2 } } \mathrm { i }\)

---

Definitions:

Novation

A legal process by which an existing contract is replaced by a new contract, with the consent of all parties involved, often involving a change of parties or terms.

Statutory Assignment

The transfer of rights or interests in a particular matter as established by statute or legislative action.

Equitable Assignment

A method by which contractual rights are transferred from one party to another, in a manner recognized by equity or fairness, rather than strictly by the letter of the law.

Rectification

The judicial procedure for rectifying an error in a document to accurately represent the real intentions of the parties concerned.