Question

8.a) Locate √10 on the number line.​

Answer 1

Answer:

√10 = 3.16 or it will be at 3rd position of the number line..

Answer 2

ANSWER

We can do it by using Pythagoras Theorem.

We can write

10

as follows:

10

=

9+1

⇒

10

=

3

2

+1

2

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

units.