Question

Locate √3 on the number line.

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Answer 1

Answer:

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

By Pythagoras theorem, OD=(2)2+12=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.