Question

represent 2+√2 on the number line
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Answer 1

Answer:

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.