No; if the non-terminating decimal repeats then it represents a rational.
Examples:
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an irrational number
It is an infinite non-repeating decimal which represents an irrational number.
Yes.
The square root of 325, 18.027756377319946465596106337352…, is an irrational number because its decimal expansion is nonterminating and nonperiodic.
It is a non-terminating decimal, which could represent a rational number or an irrational number.