The square root of 2 (√2) is an irrational number, meaning it cannot be exactly expressed as a fraction of two integers. Its decimal approximation is:

\[
\sqrt{2} \approx 1.414213562
\]

This number is significant in mathematics, especially in geometry, where it represents the length of the diagonal of a square with side length 1, based on the Pythagorean theorem.

Would you like more details about the properties of irrational numbers or how √2 is used in different areas of math?

Here are five related questions:
1. How is the square root of 2 derived geometrically?
2. Why is √2 classified as an irrational number?
3. What is the significance of √2 in the Pythagorean theorem?
4. How is √2 used in trigonometry?
5. Can √2 be approximated using fractions?

**Tip:** When working with √2 in calculations, it is often useful to use its decimal approximation up to a few decimal places (1.414) for quicker results without losing much precision.

Explore the properties of the square root of 2 (√2), an important irrational number in mathematics. Learn its decimal approximation, how it is derived geometrically using the Pythagorean theorem, and its significance in various areas of math. Suitable for students in Grades 8-10.

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