Question

Represent the following irrational number on the number line

`sqrt(3)`

Answer 1

Steps of construction:

1. Draw a line and mark a point A and B such that AB = 3 cm.

2. Mark a point C on this line such that BC = 1 cm.

3. Find the midpoint of AC by drawing perpendicular bisector of AC and let it be “O”.

4. With O as centre and OC = OA as radius draw a semicircle.

5. Draw a line BD, which is perpendicular to AB at B.

6. Now BD = `sqrt(3)` which can be marked in the number line as the value of BE = BD = `sqrt(3)`