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Mathematics

The decimal expansion of 2 - 3\sqrt{3} is

  1. terminating and non-repeating
  2. terminating and repeating
  3. non-terminating and non-repeating
  4. non-terminating and repeating

Rational Irrational Nos

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Answer

The decimal expansion of 2 - 3\sqrt{3} is non-terminating, non-repeating as 3\sqrt{3} is an irrational number, 2 - 3\sqrt{3} is also an irrational number and decimal expansion of an irrational number is non-terminating, non-repeating.

∴ Option 3, is the correct option.

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