Write in terms of $$ i $$, Simplify your answer as much as pessible, $$ \sqrt{-144} $$

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To simplify $$\sqrt{-144}$$ in terms of the imaginary unit $$i$$, follow these steps:

1. **Express the negative number using $$i$$:**
   
   Recall that $$i$$ is defined as the square root of $$-1$$:
   $$
   i = \sqrt{-1}
   $$
   
2. **Factor the negative number inside the square root:**
   
   $$
   \sqrt{-144} = \sqrt{144 \times (-1)}
   $$
   
3. **Separate the square root of the product into the product of square roots:**
   
   $$
   \sqrt{144 \times (-1)} = \sqrt{144} \times \sqrt{-1}
   $$
   
4. **Simplify each part:**
   
   - $$\sqrt{144} = 12$$
   - $$\sqrt{-1} = i$$
   
   Therefore:
   $$
   \sqrt{144} \times \sqrt{-1} = 12i
   $$
   
5. **Final Answer:**
   
   $$
   \sqrt{-144} = 12i
   $$

So, $$\sqrt{-144}$$ simplified in terms of $$i$$ is:

$$
\boxed{12i}
$$
$$ \sqrt{-144} = 12i $$

Write in terms of \( i \), Simplify your answer as much as pessible, \[ \sqrt{-144} \]

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