Question

How can we represent $\sqrt{3}$ on a number line

Answer 1

First we draw a line OA of unit 1
Setp 2 -Now we draw a perpendicular of length unit 1 on point A As AB.
Now from Pythagoras theorem we know Hypotenuse OB =$\sqrt{2}$
Step 3 take are of length OB and draw it on number line, That meet at E on number line So at E we can represent $\sqrt{2}$
Step 4 Now we take OB as base and draw a perpendicular on B As BC.
Now we know from Pythagoras theorem hypotenuse OC =$\sqrt{3}$
Step 5 -Take arc of length OC and draw it on number line as it meet at D on number line So at D we can represent $\sqrt{3}$