Question

Represent √10 on a number line.​

Answer 1

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

Answer 2

The construction steps are as follows :-

☞Take a line segment AO=3 unit on the x-axis.

☞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 in the below diagram represents 10 units.

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