Locate √2 on the 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= root(1)2 +root(1)2
= root 2
We have seen that OB= root2. 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 root 2 on the number line.
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