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.