show √2 on number line
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At O draw a unit square OABC on number line with each side 1 unit in length.
By Pythagoras theorem OB=
1
2
+1
2
=
2
We have seen that OB=
2
. Using a compass with centre O and radius OB, draw an arc on the right side to O intersecting the
number line at the point K. Now K corresponds to
2
on the number line
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