Question

How we can identity our answer
Is correct or wrong Represent root 4.5 on the 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!

If you follow all the steps wisely and use proper measurements you'll always get correct answer.

Answer 2

$\huge \sf{} Question$

To represent√4.5 on the number line

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$\huge \sf{}Steps$

★ First draw a line AB whose length is 4.5 cm. In addition to that add another 1 cm to AB and make the line AC

★ So then now, draw a perpetual bisector of AC which meets AC at O

★ After this draw a semi-circle whose radius is equal to AO

★ Now keep a scale straight upwards at C and join a line which meets the semi-circle that we drew earlier and mark it D so now with CD as the radius draw an arc that cuts the line(already extend AC)

★ Now the point where the arc cuts the line is √4.5

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