To simplify the expression \( 5\sqrt{3} + 7\sqrt{3} - 4\sqrt{3} + 2\sqrt{3} \), you can combine the like terms, which are all multiples of \( \sqrt{3} \).

1. Combine the coefficients of \( \sqrt{3} \):
   \[
   5 + 7 - 4 + 2 = 10
   \]
   
2. Multiply the sum by \( \sqrt{3} \):
   \[
   10\sqrt{3}
   \]

Thus, the simplified expression is \( 10\sqrt{3} \).

Do you want more details or have any questions about this process?

Here are 5 related questions for further exploration:
1. How would you simplify an expression with different square roots, like \( 5\sqrt{2} + 7\sqrt{3} - 4\sqrt{2} \)?
2. What happens if you square the simplified expression \( 10\sqrt{3} \)?
3. How would you simplify \( 3\sqrt{5} + 4\sqrt{5} - \sqrt{5} \)?
4. What is the value of \( \sqrt{3} \) approximately?
5. How would you simplify an expression involving cube roots, like \( 2\sqrt[3]{4} + 3\sqrt[3]{4} \)?

**Tip:** Always group like terms when simplifying expressions with square roots or other radicals.

Learn how to simplify the radical expression 5√3 + 7√3 - 4√3 + 2√3 by combining like terms. This problem introduces key algebraic concepts such as radical addition and is suitable for students in Grades 6-8.

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