Yes.
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Yes, 325 is a rational number
The square root of 325, 18.027756377319946465596106337352…, is an irrational number because its decimal expansion is nonterminating and nonperiodic.
325 is an integer and not a fraction. However, it can be expressed in rational form as 325/1. You can then calculate equivalent rational fractions if you multiply both, its numerator and denominator, by any non-zero integer.
As much as, in these days of uncertainty, anything can be anything. As long as the constraints of a rational number are kept to, a rational number will always remain a rational number.
Yes.