Class 9 Maths Number Systems Irrational Number on Number line

Steps to locate √2 on number line.

  1. Draw line AB of length 1 cm
  2. Draw line BC of length 1 cm, perpendicular to AB
  3. Join AC to get a line of length √2. AC will be of length √2, as per Pythagoras theorem on Right Triangle ABC, right angled at B.
  4. Once we have length √2 defined (AB), we can plot it on number line using a compass. Adjust the compass, to keep the Metal point or Needle on point A & Pencil point to Point C. Once √2 distance is measured in the compass, you can now rotate the compass to plot the point on the number line.

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