Find All Specified Roots $i$
A) $\frac { \sqrt { 3 } } { 2 } + \frac { 1 } { 2 } \mathrm { i } , - \frac { \sqrt { 3 } } { 2 } + \frac { 1 } { 2 } \mathrm { i } , \mathrm { i }$

question 146

Multiple Choice

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

• A) \(\frac { \sqrt { 3 } } { 2 } + \frac { 1 } { 2 } \mathrm { i } , - \frac { \sqrt { 3 } } { 2 } + \frac { 1 } { 2 } \mathrm { i } , \mathrm { i }\)
• B) \(\frac { \sqrt { 3 } } { 2 } - \frac { 1 } { 2 } i , - \frac { \sqrt { 3 } } { 2 } - \frac { 1 } { 2 } i , i\)
• C) \(\frac { \sqrt { 3 } } { 2 } + \frac { 1 } { 2 } i , - \frac { \sqrt { 3 } } { 2 } + \frac { 1 } { 2 } i , - i\)
• D) \(\frac { \sqrt { 3 } } { 2 } - \frac { 1 } { 2 } i , - \frac { \sqrt { 3 } } { 2 } - \frac { 1 } { 2 } i , - i\)

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Definitions:

Schema

A cognitive framework or concept that organizes and interprets information in the mind, helping to understand and predict the world.

Concept Formation

The cognitive activity of organizing information into relevant categories or ideas.

Psychological Essentialism

The belief that certain categories, such as biological species or social groups, have an underlying and unobservable essence that defines their identity.

Connectionism

An approach in cognitive science that models mental or behavioral phenomena as the emergent processes of interconnected networks of simple units.