Because it is not represented as a ratio of two integers, one over the other.
And given the decimal expansion of it, it does not terminate, nor does any sequence of digits repeat forever at the end.
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When a decimal can't be expressed as a fraction then it is an irrational number.
A number is said to be irrational if the number is non -repeating and non-terminating.
a rational number repeats but terminates.ex:3.333333333. a irrational number doesn't terminate or repeat itself. ex:3.334334433444.
An irrational number.
When added to a rational number, any irrational number will produce an irrational number.also, when added to an irrational number, any rational number will produce an irrational number.