Show how √10 can be represented on number line.

Representing √10 on the Number Line

1. Draw a right-angled triangle OAB with OA = 3 units and AB = 1 unit. Angle ∠OAB = 90°.
2. Using the Pythagorean theorem, calculate OB:
   • OB² = OA² + AB²
   • OB² = 3² + 1²
   • OB² = 9 + 1
   • OB² = 10
   • OB = √10
3. Using OB = √10 as the radius and point O as the center, draw an arc that meets the number line at point P.
4. The point P represents √10 on the number line.

Thus, √10 is represented on the number line.