Question

Represent √3 on the number line.​

Answer 1

Answer

Construct BD of 1 unit length perpendicular to OB as fig. Join OD

By Pythagoras theorem, OD=

(

2

)

2

+1

2

=

2+1

=

3

Using a compass, with centre O and radius OD, draw an arc which

intersects the number line at the point L right side to 0. Then

′

L

′

corresponds to

3

. From this we can conclude that many

points on the number line can be represented by irrational numbers also.

In the same way, we can locate

n

for any positive integers n, after

n−1

has been located.

HOPE IT HELPS YOU ❤️

Answer 2

representation of root 3 in a number line