how to represent root x on number line
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Step-by-step explanation:
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.
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