Question

Locate $\sqrt{10}$ on the number line.

Answer 1

We can do it by using Pythagoras Theorem.

We can write

Construction

1. Take a line segment AO = 3 unit on the x-axis. (consider 1 unit = 2cm)

2. Draw a perpendicular on O and draw a line OC = 1 unit

3. Now join AC with .

4. Take A as centre and AC as radius, draw an arc which cuts the x-axis at point E.

5. The line segment AE represents units.