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

question 368

Multiple Choice

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

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

Understand the impact and side effects of electroconvulsive therapy in the treatment of major depressive disorder.

Recognize the dietary and medication restrictions for patients taking monoamine oxidase inhibitors.

Identify clinical features of major depressive disorder such as anergia and anhedonia.

Comprehend the rationale behind advising patients undergoing major psychiatric treatments to avoid making significant decisions for a specified period.

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