Question

Locate √4.5 on number line.

Answer 1

To represent √4.5 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 = 4.5 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 √4.5

Refer to the attachment!