Let's simplify the given expression:

\[
-8\sqrt{3} + 5\sqrt{12}
\]

### Step 1: Simplify \(\sqrt{12}\)
\[
\sqrt{12} = \sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3} = 2\sqrt{3}
\]

### Step 2: Substitute the simplified form of \(\sqrt{12}\)
\[
-8\sqrt{3} + 5\sqrt{12} = -8\sqrt{3} + 5(2\sqrt{3}) = -8\sqrt{3} + 10\sqrt{3}
\]

### Step 3: Combine like terms
\[
-8\sqrt{3} + 10\sqrt{3} = (10 - 8)\sqrt{3} = 2\sqrt{3}
\]

### Final Answer:
\[
2\sqrt{3}
\]

Would you like further clarification or additional steps explained?

Here are 5 related questions for further practice:
1. Simplify \(-3\sqrt{5} + 2\sqrt{20}\).
2. What is the simplified form of \(4\sqrt{2} - 6\sqrt{8}\)?
3. Combine like terms: \(7\sqrt{7} - 2\sqrt{7} + 3\sqrt{7}\).
4. How would you simplify \(\sqrt{50} + \sqrt{18}\)?
5. What is \(\sqrt{32} - \sqrt{2}\)?

**Tip:** When simplifying square roots, always check for perfect squares inside the radical, as it can help reduce the expression!

Learn how to simplify the expression -8√3 + 5√12. This step-by-step solution walks through simplifying square roots and combining like terms, covering key algebraic concepts. Suitable for students in Grades 8-10.

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