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प्रश्न
Find the conjugate of the following complex number:
\[\frac{(3 - i )^2}{2 + i}\]
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उत्तर
\[\text { Let } z = \frac{\left( 3 - i \right)^2}{2 + i}\]
\[ = \frac{\left( 9 - 6i - 1 \right)}{2 + i}\]
\[ = \frac{8 - 6i}{2 + i} \times \frac{2 - i}{2 - i}\]
\[ = \frac{16 - 8i - 12i + 6 i^2}{4 - i^2}\]
\[ = \frac{10 - 20i}{5}\]
\[ = 2 - 4i\]
\[ \therefore z = 2 + 4i\]
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