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It is a number that is approximately equal to 1.4142. Since it is an irrational number, any decimal representation must be an approximation. However, if you have a pair of compasses, it is not that difficult to mark sqrt(2) on the number line.

  • Draw a line at 1 that is vertical to the number line.
  • Put the compass point at 1, radius = distance from 1 to 0 and draw an arc to cut the vertical line at X.
  • Put the compass point at 0, radius = distance from 0 to X and draw an arc. This will cut the number line at sqrt(2).
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Q: How do you represent root 2 on number line?
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