Question

$\frac{3 + 2i}{5 - 3i}$

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Answer 1

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Answer 2

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$<B><I>HERE IS YOUR ANSWER :-$


$\frac{3 + 2i}{5 - 3i } \\ \\ = \frac{3 + 2i}{5 - 3i} \times \frac{5 + 3i}{5 + 3i} \\ \\ = \frac{15 + 10i + 9i + 6 {i}^{2} }{ {5}^{2} - {(3i)}^{2} } \\ \\ = \frac{15 + 19i - 6}{25 - 9 {i}^{2} } \\ \\ = \frac{9 + 19i}{25 + 9} \\ \\ = \frac{9 + 19i}{34} \\ \\ = \frac{9}{34} + \frac{19i}{34}$



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