Question

Show √3 on the number line. class 8
​

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.

solution

thanks

Answer 2

Given data: $\sqrt{3}$

To find: Number line

Solution:

Number line is consider as the negative number, positive number and zero.

For example -2,-1,0,1,2,... and so on.

The value of $\sqrt{3}$ = 1.732.

In number line 1.7 lies between 1 and 2.

Hence $\sqrt{3}$ falls near to 2 in number line.