Question

represent √2 on number line

Answer 1

Step-by-step explanation:

At O draw a unit square OABC on number line with each side 1 unit in length.

By Pythagoras theorem OB=

$\sqrt{ {1}^{2} + {1}^{2} } = 2$

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.