Question

Write the steps of construction of locating √3 on a numberline (construction not required) ​

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

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