Express $$ 2+\sqrt{-9} $$ as a complex number in the form $$ a+b i $$ $$ 2+\sqrt{-9}=\square $$

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To express $$ 2 + \sqrt{-9} $$ as a complex number in the form $$ a + b i $$, follow these steps:

1. **Understand the Components:**
   
   - The number $$ 2 $$ is the real part ($$ a $$).
   - The term $$ \sqrt{-9} $$ involves the square root of a negative number, which relates to the imaginary unit $$ i $$, where $$ i = \sqrt{-1} $$.

2. **Simplify the Square Root of a Negative Number:**
   
   $$
   \sqrt{-9} = \sqrt{9 \times (-1)} = \sqrt{9} \times \sqrt{-1} = 3i
   $$

3. **Combine the Real and Imaginary Parts:**
   
   $$
   2 + \sqrt{-9} = 2 + 3i
   $$

4. **Express in $$ a + b i $$ Form:**
   
   $$
   2 + \sqrt{-9} = 2 + 3i
   $$
   
   Here, $$ a = 2 $$ and $$ b = 3 $$.

**Final Answer:**

$$
2 + \sqrt{-9} = 2 + 3i
$$
$$ 2 + \sqrt{-9} = 2 + 3i $$

Express as a complex number in the form

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