The expression is:

\[
3\sqrt{3} + 6\sqrt{3}
\]

Since both terms contain the same radical \(\sqrt{3}\), you can combine them just like regular numbers:

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

Thus, the simplified result is:

\[
9\sqrt{3}
\]

Would you like further details on how radicals are combined?

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Here are 5 related questions to expand your understanding:
1. How do you add and subtract unlike radicals?
2. What is the result of \(4\sqrt{5} + 7\sqrt{5} - 2\sqrt{5}\)?
3. Can you simplify \(\sqrt{12} + \sqrt{27}\)?
4. How do you multiply two terms with radicals, such as \(3\sqrt{2} \cdot 2\sqrt{3}\)?
5. What is the meaning of a "like radical," and why can they be combined?

**Tip:** When adding or subtracting radicals, treat the radical part like a variable. If the radicands are different, they cannot be combined directly.

This solution shows how to simplify the expression 3√3 + 6√3 by combining like radicals. Learn the properties of radicals and understand how terms with the same radicand can be simplified. Suitable for students in Grades 7-9.

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