Simplify the Complex Number $\frac { - 12 + \sqrt { - 8 } } { 2 }$

question 107

Multiple Choice

Simplify the complex number. Write the answer in the form a + bi.
$\frac { - 12 + \sqrt { - 8 } } { 2 }$

• A) \(- 6 + 2 i \sqrt { 2 }\)
• B) \(- 6 - 2 i \sqrt { 2 }\)
• C) \(- 6 + i \sqrt { 2 }\)
• D) \(- 6 - i \sqrt { 2 }\)

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Definitions:

Break-even Sales

The amount of revenue from sales that is exactly sufficient to cover all fixed and variable expenses, resulting in zero profit or loss.

Break-even Point

The point at which total expenses match total income, leading to neither a loss nor a profit.

Unit Variable Cost

The cost that varies with each unit of product produced, encompassing materials and labor but not fixed costs.

Sales Required

The minimum sales needed to achieve a specific financial goal or to cover costs.