Simplify by Rationalizing the Denominator $\frac { 9 + 8 i } { 5 - 4 i }$

question 22

Multiple Choice

Simplify by rationalizing the denominator. Write your answer in a +bi form.
- $\frac { 9 + 8 i } { 5 - 4 i }$

• A) \(\frac { 13 } { 9 }\)
• B) \(\frac { 77 } { 41 } - \frac { 4 } { 41 } \mathrm { i }\)
• C) \(\frac { 77 } { 9 } - \frac { 76 } { 9 } \mathrm { i }\)
• D) \(\frac { 13 } { 41 } + \frac { 76 } { 41 } \mathrm { i }\)

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