Write the additive inverse of the following
`-2+ 3i`

Answer

To find the additive inverse of the complex number \(-2 + 3i\), we can follow these steps:

### Step 1: Understand the concept of additive inverse
The additive inverse of a number is the value that, when added to the original number, results in zero. For a complex number \(Z\), its additive inverse \(Z'\) satisfies the equation:
\[ Z + Z' = 0 \]

### Step 2: Identify the given complex number
In this case, the complex number is:
\[ Z = -2 + 3i \]

### Step 3: Set up the equation for the additive inverse
We need to find \(Z'\) such that:
\[ (-2 + 3i) + Z' = 0 \]

### Step 4: Solve for the additive inverse
To isolate \(Z'\), we can rearrange the equation:
\[ Z' = -(-2 + 3i) \]
This simplifies to:
\[ Z' = 2 - 3i \]

### Step 5: State the final answer
Thus, the additive inverse of the complex number \(-2 + 3i\) is:
\[ \boxed{2 - 3i} \]

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