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The problem asks which of the following numbers is farthest from 2 on the number line:

1. \(\sqrt{2.1}\)
2. \(\sqrt{2.4}\)
3. \(\sqrt{2.5}\)
4. \(\sqrt{2.9}\)

To solve this, let's first approximate the square roots and then determine which is farthest from 2.

1. \(\sqrt{2.1} \approx 1.449\)
2. \(\sqrt{2.4} \approx 1.549\)
3. \(\sqrt{2.5} \approx 1.581\)
4. \(\sqrt{2.9} \approx 1.702\)

Now, find the distances from 2:
- \(|2 - 1.449| \approx 0.551\)
- \(|2 - 1.549| \approx 0.451\)
- \(|2 - 1.581| \approx 0.419\)
- \(|2 - 1.702| \approx 0.298\)

The number farthest from 2 is \(\sqrt{2.1}\), as its distance from 2 is the largest at approximately 0.551.

Would you like more details, or have any questions?

Here are 5 related questions:
1. What is the square root of 3 to two decimal places?
2. How can we approximate square roots without a calculator?
3. What is the significance of distance on the number line in math?
4. How is absolute value used in measuring distances on a number line?
5. Why are square roots of non-perfect squares irrational?

**Tip:** When calculating square roots mentally, try using nearby perfect squares to estimate values.

Which number is farthest from 2 on the number line? (√2.1, √2.4, √2.5, √2.9)

Learn how to determine which square root (√2.1, √2.4, √2.5, √2.9) is farthest from 2 on the number line. This problem covers concepts of square roots and calculating distances on the number line, suitable for students in Grades 6-8.

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