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how to represent root2 on a numberline

Take points A and B on the number line where A represents Zero and B represents 1. Therefore, AB = 1 unit.

Draw BC of unit length (1 unit) perpendicular to the number line (AB)

Join AC

In learning irrational numbers on number line, the AC =sqrt(AB2 + BC2) =sqrt(12 + 12) = sqrt 2 units.

With A as centre and radius AC, draw an arc to cut the number line at P on the right side and Q on the left side. We get AP = sqrt 2 and AQ = -sqrt 2 units.

Therefore P and Q represent the point’s sqrt 2 and -sqrt 2 respectively on the number line.


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