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The question displayed asks to simplify the expression involving square roots of negative numbers:

\[
\sqrt{-9} - \sqrt{-4}
\]

### Step-by-step Solution:

1. **Handle each square root separately**:
   - \(\sqrt{-9}\) can be rewritten using the imaginary unit \(i\), where \(i = \sqrt{-1}\).
   \[
   \sqrt{-9} = \sqrt{9} \cdot i = 3i
   \]
   - Similarly, \(\sqrt{-4}\) can be simplified:
   \[
   \sqrt{-4} = \sqrt{4} \cdot i = 2i
   \]

2. **Substitute back into the expression**:
   \[
   3i - 2i = (3 - 2)i = 1i
   \]

Thus, the result is:
\[
\boxed{i}
\]

Would you like more details or have any questions on this problem?

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Here are 5 related questions you might find helpful:
1. How do you multiply complex numbers?
2. What is the square of an imaginary number \(i\)?
3. How do you simplify powers of \(i\) (e.g., \(i^3, i^4\))?
4. What is the geometric representation of complex numbers?
5. How do you add and subtract complex numbers?

**Tip:** Whenever you see the square root of a negative number, remember to express it in terms of \(i\), the imaginary unit.

Learn how to simplify the expression √(-9) - √(-4) by converting square roots of negative numbers into imaginary numbers. This problem demonstrates the use of the imaginary unit i and the properties of complex numbers.

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