Which number is rational?  A.π B.0.36458121… C.0.777… D. √5

Which number is rational?

 A.π  B.0.36458121… C.0.777… D. √5

Answer: 0.36458121…

A rational number where decimal representation either terminates or repeats in an endless pattern. 0.36458121… is a decimal number that does not terminate because it has infinitely many digits to the right of its decimal point. But we can assume that the digits repeat in a consistent manner despite their reaching towards an infinite length. As a repeating decimal can also be transformed into a fraction, any rational number is either terminating or recursing. On the contrary, numbers such as π and irrational ones like SQRT5 cannot be represented by a ratio of integers meaning that they do not satisfy the definition criterion for rationality . As such, only 0.3645812…with its implied repetition can be regarded as a rational answer among the given choices.


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