Simplify by Rationalizing the Denominator $\frac { 7 + 4 i } { 7 + 5 i }$

question 267

Multiple Choice

Simplify by rationalizing the denominator. Write your answer in a +bi form.
- $\frac { 7 + 4 i } { 7 + 5 i }$

• A) \(\frac { 29 } { 24 } + \frac { 7 } { 24 } \mathrm { i }\)
• B) \(\frac { 29 } { 74 } - \frac { 63 } { 74 } \mathrm { i }\)
• C) \(\frac { 23 } { 8 } + \frac { 7 } { 24 } \mathrm { i }\)
• D) \(\frac { 69 } { 74 } - \frac { 7 } { 74 } \mathrm { i }\)

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