The question is asking which point on the number line best approximates $\sqrt{3}$.

We know that $\sqrt{3} \approx 1.732$.

Looking at the number line:

• Point A is at 0.
• Point B is at 1.
• Point C is at 2.
• Point D is at 3.

Since $\sqrt{3}$ is approximately 1.732, it lies between points B (1) and C (2). Therefore, the best approximation for $\sqrt{3}$ is closest to C.

Would you like further details or have any questions?

Here are 5 related questions to deepen your understanding:

1. How is the square root of a number approximated on a number line?
2. Can square roots of non-perfect squares be represented as exact fractions?
3. What is the decimal approximation of $\sqrt{2}$ and where would it fall on this number line?
4. How do irrational numbers like $\sqrt{3}$ differ from rational numbers?
5. Why do we use approximations for square roots of non-perfect squares?

Tip: To get better at estimating square roots, remember that $\sqrt{n}$ for non-perfect squares lies between two whole numbers.