Find All Cube Roots of the Complex Number $- 6 \sqrt { 3 } - 6 i$

question 37

Multiple Choice

Find all cube roots of the complex number. Leave answers in trigonometric form.
- $- 6 \sqrt { 3 } - 6 i$

• A) \(\sqrt [ 3 ] { 12 } \operatorname { cis } 80 ^ { \circ } , \sqrt [ 3 ] { 6 } \operatorname { cis } 200 ^ { \circ } , \sqrt [ 3 ] { 12 }\) cis \(320 ^ { \circ }\)
• B) \(\sqrt [ 3 ] { 6 } \operatorname { cis } 70 ^ { \circ } , \sqrt [ 3 ] { 6 } \operatorname { cis } 190 ^ { \circ } , \sqrt [ 3 ] { 6 } \operatorname { cis } 310 ^ { \circ }\)
• C) \(\sqrt { 6 } \operatorname { cis } 70 ^ { \circ } , \sqrt { 6 } \operatorname { cis } 190 ^ { \circ } , \sqrt { 6 } \operatorname { cis } 310 ^ { \circ }\)
• D) \(\sqrt [ 3 ] { 12 } \operatorname { cis } 70 ^ { \circ } , \sqrt [ 3 ] { 12 } \operatorname { cis } 190 ^ { \circ } , \sqrt [ 3 ] { 12 } \operatorname { cis } 310 ^ { \circ }\)

Demonstrate an understanding of the types of businesses (service, merchandising, manufacturing) and their characteristic operations.

Analyze the ethical considerations in corporate accounting practices.

Understand the impact of different transactions on the accounting equation.

Analyze the effect of specific business transactions on a company's financial statements.

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Definitions:

Core Knowledge Theorist

A theorist who posits that humans are born with innate, domain-specific knowledge systems, such as for language and physics.

Violation-of-expectation

A research method used in developmental psychology to study infants' understanding of the world by observing their reactions to events that contradict their expectations.

Tertiary Circular Reactions

A cognitive developmental stage in infants described by Piaget, involving the purposeful adaptation of established schemes to new situations.

Euthanasia

The practice of intentionally ending a life to relieve pain and suffering, often involving ethical and legal considerations.