Why Do Numbers Become Irrational?

Irrational numbers are like wild animals, you can’t put them in a cage. For example, the number √2 is irrational because it goes on forever and never repeats when you write it as a decimal. You can try to guess its value, but it will always surprise you!

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Examples

  1. √2 ≈ 1.4142…
  2. The length of a circle’s circumference is π times its diameter, which is approximately 3.1416…
  3. Dividing the side of a square by the diagonal gives √2

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