Question

Represent √13 on number line

Answer 1

this is the write answee

Answer 2

Steps :

• Draw a line segment AB such that AB = 13 cm.

• Then extend AB to a point C where AC = 14 cm.

• Draw the perpendicular bisector of AC , then mark that point as D. (Such that AD = 7 cm and DC = 7cm)

• From point D , draw a semi circle.

• Draw a perpendicular from B in the vertical direction.

Here the distance of point B to that of the semicircle is √13.

• With the help of ruler of compass, trace that distance and denote the distance on number line.

Verification -

Take those perfect square roots which are nearer to it.

i.e. √9 and √16 , Here √9 = 3 and √16 = 4.

So √ 13 must lie near to √ 16 because √13 0= 3.6 (approximately)

And our solution is also same like it.