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Question

Which of the following statements is true about the decimal expansion of the square root of 2?


A

finite decimal number

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B

non terminating, non repeating

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C

1.41421

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D

non terminating, repeating

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Solution

The correct option is B

non terminating, non repeating


2 is an irrational number or a new number. They can't be expressed in fractional forms. Every number that can't be expressed as fractions are non-terminating and non-repeating decimals.
So, 2 is a non-terminating and non-repeating decimals.

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