Question

represent root3 on a number line​

Answer 1

To Represent √3 on number line :

Step 1 : Draw a line and mark a point A on it

Step 2 : Mark a point B on the line drawn in Step 1 such that AB = 3 cm

Step 3 : Mark a point C on AB produced such that BC = 1 unit.

Step 4 : Find mid-point of AC. Let the mid-point be O.

Step 5 : Taking O as centre and OC = OA as radius draw s semi-circle. Also,draw a line passing through B perpendicular to OB. Suppose it cuts the semi-circle at D

Step 6 : Taking B as the centre and BD as radius drawn an arc cutting OC produced at E.

Here,length BE represents √3

[Refer to the attachment!]