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Find the conjugate of i/(3+5i)...

Find the conjugate of
`i/(3+5i)`

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To find the conjugate of the complex number \( \frac{i}{3 + 5i} \), we will follow these steps: ### Step 1: Multiply by the Conjugate We start with the complex number \( \frac{i}{3 + 5i} \). To simplify this expression, we multiply both the numerator and the denominator by the conjugate of the denominator, which is \( 3 - 5i \). \[ \frac{i}{3 + 5i} \cdot \frac{3 - 5i}{3 - 5i} = \frac{i(3 - 5i)}{(3 + 5i)(3 - 5i)} \] ...
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