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.