Draw perpendicular AX at A on the number line and cut-off arc AB=1unit. Taking O as the centre and OB=5 as radius draw an arc cutting real line at C. Clearly, OC=OB=5 . Hence, C represents 5 on the number line.

Construction

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

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

Now join AC with √10.

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

## Answers ( )

Draw perpendicular AX at A on the number line and cut-off arc AB=1unit. Taking O as the centre and OB=5 as radius draw an arc cutting real line at C. Clearly, OC=OB=5 . Hence, C represents 5 on the number line.

Construction

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

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

Now join AC with √10.

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

The line segment AC represents √10 units.

Answer:We can do it by using Pythagoras Theorem.

We can write √10 = √(9 + 1)

=> √10 = √(32 + 1)

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 √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 represents √10 units.