The question asks which expression is equivalent to $10\sqrt{5}$.

We can solve this by simplifying the given options. Let's begin by analyzing the expression $10\sqrt{5}$.

We know that:

$10\sqrt{5} = \sqrt{100} \times \sqrt{5} = \sqrt{100 \times 5} = \sqrt{500}.$

Thus, $10\sqrt{5}$ is equivalent to $\sqrt{500}$.

The correct answer is A: $\sqrt{500}$.

Would you like a more detailed explanation or have any further questions?

Here are some related questions for practice:

1. How would you simplify $\sqrt{72}$?
2. What is $\sqrt{4 \times 7}$ expressed in terms of a product?
3. What is the square root of 144?
4. How do you simplify $6\sqrt{3}$?
5. What is $\sqrt{225}$?

Tip: To simplify expressions like $10\sqrt{5}$, you can express the number in terms of a square root and simplify further.