Question

represent√2 on a number line​

Answer 1

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Answer 2

Represent √2 on a number line. Draw a number line and mark a point O, representing zero, on it. Suppose point A represents 1 . Then, OA = 1 . Now, draw a right triangle OAB such that AB = OA = 1.

By Pythagoras theorem, we have ${ob}^{2} = {oa}^{2} + {ab}^{2} \\ {ob}^{2} = {1}^{2} + {1}^{2} \\ {ob}^{2} = 1 + 1 \\ {ob}^{2} = 2 \\ ob = \sqrt{2}$

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