locate root 3 on number line write their steps

By using Pythagoras theorem, in right angled triangle,

take OA= 1 unit and draw AB is perpendicular to OA such that AB = 1 unit.

Join OB. then

with O as a centre and OB as a radius , draw an arc which meets OX at point (let the point be P)

then , OP=OB= √2 units.

now, again by using Pythagoras theorem,

draw BC is perpendicular to OB such that BC= 1 unit.

join OC. then

with O as a centre and OC as a radius , draw an arc which meets OX at point (let the point be Q)

then , OQ=OC= √3 units.

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