plot root 2 on number line
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Draw a line of any length and mark any point as 0 (zero)
At a distance of 3cm from 0 mark 1 and at 6cm mark 2
Now you have drawn a number line containing 0, 1 & 2
Now draw a vertical line 3cm long passing through 1
Join 0 with the other end point of vertical line
Now you will have a triangle of side lengths as 1 unit
By pythagoras theorem you will get the hypotenuse as
Sqrt 2
Now take a compass and place the pointer at 0 and the pencil at the other end of hypotenuse
Draw an arc with 0 as centre
The arc will intersect the number line in between 1 & 2
Thus you plotted Sqrt of 2
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draw a number line as shown in figure
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