The problem asks to simplify the expression:

$15\sqrt{3} - 37\sqrt{3} + 12\sqrt{3}$

Step-by-step simplification:

1. Combine like terms (since all terms involve $\sqrt{3}$): $(15 - 37 + 12)\sqrt{3}$

2. Simplify the coefficients: $(15 - 37 + 12) = -10$

3. Therefore, the simplified expression is: $-10\sqrt{3}$

Final answer:

The correct choice is A) -10\sqrt{3}.

Would you like further clarification or have any other questions?

Related Questions:

1. How do you simplify similar radical expressions?
2. What happens when terms with different radicals are combined?
3. How would the expression change if the radicals were different?
4. What are some other examples of combining like radical terms?
5. What is the importance of simplifying radicals in solving algebraic equations?

Tip: When simplifying expressions with radicals, focus on combining only the terms with the same radical part, just like combining like terms in algebra.