Let's break down the expression \( \sqrt{36} + 8\sqrt{3} \).

1. **Simplify \( \sqrt{36} \):**
   \[
   \sqrt{36} = 6
   \]
   
2. **Combine the simplified term with the rest of the expression:**
   \[
   6 + 8\sqrt{3}
   \]

So, the simplified expression is:

\[
6 + 8\sqrt{3}
\]

This is the final answer, which cannot be simplified further.

Would you like details or have any questions?

Here are five related questions to explore:

1. How do you simplify square root expressions?
2. What is the process for adding and subtracting radicals?
3. Can \( \sqrt{36} \) be negative, and why or why not?
4. How does the distributive property apply to expressions with square roots?
5. What are some common mistakes when working with square roots?

**Tip:** Always check if a square root can be simplified by finding the largest perfect square factor within the number under the square root.

Learn how to simplify the expression √36 + 8√3 with a detailed step-by-step solution. This problem covers key mathematical concepts including square roots, radicals, and simplification of expressions. Suitable for students in Grades 9-12.

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