locate root 3 on number line write their steps - Maths -

Question

locate root 3 on number line write their steps

Gursheen kaur. · Accepted Answer

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

$O B = \sqrt{{O A}^{2} + {A B}^{2}} O B = \sqrt{1^{2} + 1^{2}} O B = \sqrt{2} u n i t s .$

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

$O C = \sqrt{{O B}^{2} + {B C}^{2}} O C = \sqrt{{(\sqrt{2})}^{2} + 1^{2}} O C = \sqrt{3} u n i t s .$

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.