Simplify by Rationalizing the Denominator $\frac { 6 - 3 i } { 5 + 7 i }$

question 35

Multiple Choice

Simplify by rationalizing the denominator. Write your answer in a +bi form.
- $\frac { 6 - 3 i } { 5 + 7 i }$

• A) \(- \frac { 17 } { 8 } - \frac { 19 } { 8 } \mathrm { i }\)
• B) \(\frac { 9 } { 74 } - \frac { 57 } { 74 } \mathrm { i }\)
• C) \(\frac { 51 } { 74 } - \frac { 27 } { 74 } \mathrm { i }\)
• D) \(- \frac { 3 } { 8 } - \frac { 19 } { 8 } \mathrm { i }\)

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Definitions:

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A group of mental health disorders characterized by excessive fear, anxiety, and related behavioral disturbances.

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Dimensional Approach

A method of categorizing characteristics on a continuum rather than as distinct categories, often used in psychology to measure the degree of mental health issues.

Categorical Approach

A technique for classification that relies on clear and separate categories or groups.