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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