Question

represent
$\sqrt{2}$
on number line

​

Answer 1

Construction :

1. Draw a number line. Mark the center point as O.

2. Consider a unit square OABC.

3. By Pythagoras theorem, $OB = \sqrt{ 1^{2} +1^{2}} =\sqrt{2}$

4. With O as a center and OB as radius, draw an arc intersecting a number

   line at P.

5. P corresponds $\sqrt{2}$ .

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