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Mathematics

When written in decimal form, which of the following will be a non-terminating and non-repeating number?

  1. 11/91^{1/9}

  2. 21/92^{1/9}

  3. 292^{-9}

  4. 91/29^{1/2}

Rational Irrational Nos

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Answer

A non-terminating and non-repeating decimal is the definition of an irrational number.

Since 2 is not a perfect 9th power of any rational number, its 9th root will be an irrational number.

Hence, Option 2 is the correct option.

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