Question

representation of √10 on numberline

Answer 1

We can do it by using Pythagoras Theorem.

We can write

10 as follows:

Root10= root 9+1

⇒ root10= root 3 Square + 1 square

The construction steps are as follows:

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

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

3. Now join AC with

10

.

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

5. The line segment AC in the below diagram represents

10