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Evaluate (2-7i)/(3+5i)...

Evaluate `(2-7i)/(3+5i)`

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To evaluate the expression \((2 - 7i)/(3 + 5i)\), we will follow these steps: ### Step 1: Identify the conjugate of the denominator The denominator is \(3 + 5i\). The conjugate of a complex number \(a + bi\) is \(a - bi\). Therefore, the conjugate of \(3 + 5i\) is \(3 - 5i\). ### Step 2: Multiply the numerator and denominator by the conjugate To eliminate the imaginary part in the denominator, we multiply both the numerator and the denominator by the conjugate of the denominator: \[ ...
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