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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.

Learn how to approximate the square root of 3 (√3) on a number line. This question challenges students to recognize that √3 ≈ 1.732 and determine which point on the number line best represents this value. Suitable for students in Grades 6-8.

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