Mathematics

When written in decimal form, which of the following will be a non-terminating and non-repeating number? 1.1^(1/9) 2. 2^(1/9) 3. 2^(-9) 4. 9^(1/2)

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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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