Interactive applet
Square Roots and Irrationals
Place √n between consecutive integers and see it on the number line.
Hands-on lab
Trap the root
√40 ≈ 6.325
Integer trap
6² = 36 and 7² = 49, so 6 < √40 < 7.
67
Missions
- Land on a perfect square
- Trap √40 between two integers
1/2 complete
Guided questions
Find two integers that trap √40.
Reflection
How can a number be real even if its decimal never ends or repeats?
Sign in to save a reflection.