Question

Represent under root X on the number line.

Answer 1

For representation of real numbers on number line, use the following steps :

Represent √x 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 such that AB = x cm.

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

Step 4 Find mid-point of AC (x+1). Let the mid-point be O.

Step 5 Taking O as centre and OC = OA [(x+1)/2] as radius draw a semi-circle. Also draw a line passing through B perpendicular to OB. Let it cut the semi-circle at D

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

Point E so obtained represents √x.