Find the complex conjugate fo the following
`(3 + 4i)`

Answer

To find the complex conjugate of the complex number \(3 + 4i\), we can follow these steps:

### Step 1: Identify the complex number
The given complex number is:
\[ z = 3 + 4i \]
where \(3\) is the real part and \(4i\) is the imaginary part.

### Step 2: Understand the concept of complex conjugate
The complex conjugate of a complex number \(z = x + yi\) is given by:
\[ \overline{z} = x - yi \]
where \(x\) is the real part and \(y\) is the imaginary part of the complex number.

### Step 3: Apply the concept to the given complex number
For our complex number \(z = 3 + 4i\):
- The real part \(x = 3\)
- The imaginary part \(y = 4\)

Now, we can find the complex conjugate:
\[ \overline{z} = 3 - 4i \]

### Step 4: State the final answer
Thus, the complex conjugate of \(3 + 4i\) is:
\[ \overline{z} = 3 - 4i \]

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