4.5 is rational. Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction.
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45 is an integer which is a rational number. So the question makes no sense.
sqrt 45 = sqrt 5 x sqrt 9 = 3 sqrt 5. Sqrt 5 is irrational so 3 root 5 is also irrational.
All integers are rational, since they can be written, for example, in the form 45/1.