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The given expression is \( 9\sqrt{3} + 2\sqrt{3} \).

Since both terms involve \( \sqrt{3} \), you can combine them by adding the coefficients of \( \sqrt{3} \). The operation is similar to adding like terms in algebra:

\[
9\sqrt{3} + 2\sqrt{3} = (9 + 2)\sqrt{3} = 11\sqrt{3}
\]

So, the answer in simplest form is:

\[
\boxed{11\sqrt{3}}
\]

Would you like a further breakdown or have any additional questions?

Here are some related questions to consider:
1. How do you simplify expressions involving square roots?
2. What happens if the square roots are different, like \( \sqrt{2} \) and \( \sqrt{3} \)?
3. How can you rationalize a denominator if it involves a square root?
4. How would you handle subtraction with square roots like \( 9\sqrt{3} - 2\sqrt{3} \)?
5. Can you simplify an expression like \( 5\sqrt{12} + 3\sqrt{3} \)?

**Tip:** When adding or subtracting square roots, make sure they are the same radical (like \( \sqrt{3} \)) before combining.

9√3 + 2√3. Add. Write your answer in simplest form.

Learn how to simplify the expression 9√3 + 2√3 by combining like terms. This problem involves key algebraic concepts such as radicals and the properties of square roots. Suitable for students in Grades 7-9.

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