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Simplify by Rationalizing the Denominator 4+3i5+2i\frac{4+3 i}{5+2 i} A) 2629+729i\frac{26}{29}+\frac{7}{29} \mathrm{i} B) 23−13i\frac{2}{3}-\frac{1}{3} \mathrm{i}

Question 68

Multiple Choice

Simplify by rationalizing the denominator. Write your answer in a + bi form.
- 4+3i5+2i\frac{4+3 i}{5+2 i}


A) 2629+729i\frac{26}{29}+\frac{7}{29} \mathrm{i}

B) 23−13i\frac{2}{3}-\frac{1}{3} \mathrm{i}

C) 1429−2329i\frac{14}{29}-\frac{23}{29} \mathrm{i}

D) 2621−13i\frac{26}{21}-\frac{1}{3} \mathrm{i}

Correct Answer:

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