Simplify by Rationalizing the Denominator $\frac { 2 + 3 i } { 5 + 2 i }$

question 181

Multiple Choice

Simplify by rationalizing the denominator. Write your answer in a +bi form.
- $\frac { 2 + 3 i } { 5 + 2 i }$

• A) \(\frac { 4 } { 29 } - \frac { 19 } { 29 } \mathrm { i }\)
• B) \(\frac { 16 } { 29 } + \frac { 11 } { 29 } \mathrm { i }\)
• C) \(\frac { 4 } { 21 } - \frac { 11 } { 21 } \mathrm { i }\)
• D) \(\frac { 16 } { 21 } - \frac { 11 } { 21 } \mathrm { i }\)

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