https://file.aiquickdraw.com/mathbot/file/1727199605316tlm9xe18.jpg

The image you provided shows the expression \(\sqrt{99}\), which represents the square root of 99.

### Approximation:
\[
\sqrt{99} \approx 9.95
\]
The square root of 99 is not a perfect square, but it can be simplified.

### Simplification:
The number 99 can be factored as:
\[
99 = 9 \times 11
\]
\[
\sqrt{99} = \sqrt{9 \times 11} = \sqrt{9} \times \sqrt{11} = 3\sqrt{11}
\]
Thus, the simplified form of \(\sqrt{99}\) is \(3\sqrt{11}\).

Would you like more details or any further clarification?

Here are 5 related questions:
1. How do you simplify square roots that involve non-perfect squares?
2. What are some techniques to approximate square roots manually?
3. What is the difference between simplifying and approximating square roots?
4. How do you factor large numbers to simplify square roots?
5. Can square roots be negative, and how does that affect the result?

**Tip**: For numbers that aren't perfect squares, you can estimate the square root by finding the closest perfect squares.

Learn how to simplify the square root of 99 by factoring it as 9 * 11. This problem covers key mathematical concepts like square roots and factorization, suitable for students in Grades 8-10. The simplified form of √99 is 3√11.

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