Find All the Complex Roots $\sqrt { 3 } + i$

question 139

Multiple Choice

Find all the complex roots. Leave your answers in polar form with the argument in degrees.
-The complex fifth roots of $\sqrt { 3 } + i$

• A) \(\sqrt [ 5 ] { 2 } \left( \cos 30 ^ { \circ } + i \sin 30 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 102 ^ { \circ } + i \sin 102 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 174 ^ { \circ } + i \sin 174 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 246 ^ { \circ } + i \sin 246 ^ { \circ } \right)\), \(\sqrt [ 5 ] { 2 } \left( \cos 318 ^ { \circ } + i \sin 318 ^ { \circ } \right)\)
• B) \(32 \left( \cos 6 ^ { \circ } + i \sin 6 ^ { \circ } \right) , 32 \left( \cos 78 ^ { \circ } + i \sin 78 ^ { \circ } \right) , 32 \left( \cos 150 ^ { \circ } + i \sin 150 ^ { \circ } \right) , 32 \left( \cos 222 ^ { \circ } + i \sin 222 ^ { \circ } \right)\), \(32 \left( \cos 294 ^ { \circ } + \mathrm { i } \sin 294 ^ { \circ } \right)\)
• C) \(32 \left( \cos 30 ^ { \circ } + i \sin 30 ^ { \circ } \right) , 32 \left( \cos 102 ^ { \circ } + i \sin 102 ^ { \circ } \right) , 32 \left( \cos 174 ^ { \circ } + i \sin 174 ^ { \circ } \right) , 32 \left( \cos 246 ^ { \circ } + i \sin 246 ^ { \circ } \right)\), \(32 \left( \cos 318 ^ { \circ } + i \sin 318 ^ { \circ } \right)\)
• D) \(\sqrt [ 5 ] { 2 } \left( \cos 6 ^ { \circ } + i \sin 6 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 78 ^ { \circ } + i \sin 78 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 150 ^ { \circ } + i \sin 150 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 222 ^ { \circ } + i \sin 222 ^ { \circ } \right)\), \(\sqrt [ 5 ] { 2 } \left( \cos 294 ^ { \circ } + i \sin 294 ^ { \circ } \right)\)

Understand the concept of time styles and how they influence consumer receptivity to marketing messages.

Grasp the psychological impact of activities like polychronic actions and waiting time on the shopping experience.

Comprehend consumer categorization based on shopping types such as economic, personalized, and recreational.

Appreciate the emotional states and how pleasure vs. arousal dimensions influence shopping behavior.

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Definitions:

Upward Communication

A process in organizational settings where information flows from lower levels of a hierarchy to higher ones, often involving feedback or reporting.

Downward Communication

The flow of information from higher levels of an organization to its lower levels, typically involving directives, updates, or feedback.

Horizontal Communication

The exchange of information between individuals or units of the same hierarchical level within an organization.

Outward Communication

involves conveying information or expressing thoughts and feelings from an individual or organization to external parties.