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Number SystemReal Numbers
Rational or Irrational?
Check whether √n is rational and see its decimal expansion.
Controls
2
Live result
√n
1.41421356
Nature
Irrational
Reason
Non-terminating, non-recurring decimal
Splitting the number into equal prime groups√n: 1.41421356
√p is irrational for every prime p — proved by contradiction in the NCERT text.