16th Problem

Geometry Level 3

We know square roots of non perfect square number is always irrational.Which means digits come out randomly after the decimal point with infinitely long period.Now my question is, can you draw a line which has a length of an irrantional number(for example:√2)?

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1 solution

Shuvodip Das
Feb 24, 2019

We can. For Example: Draw a 1 unit Perpendicular on the terminal point or starting of another 1 unit segment.Then connect the open points. Then the length would be √2. Since Pythagorean theorem says √(1^2+1^2 )=√2

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