Find the conjugate of
`(3+i)/(2+5i)`

Explanation

To find the conjugate of the complex number \(\frac{3+i}{2+5i}\), we will follow these steps:

### Step 1: Multiply by the Conjugate
To simplify the expression, we multiply both the numerator and the denominator by the conjugate of the denominator. The conjugate of \(2 + 5i\) is \(2 - 5i\).

\[ \frac{3+i}{2+5i} \cdot \frac{2-5i}{2-5i} \]
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