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Answer:

127 is rational number.

Step-by-step explanation:

The given number 127 is rational because it can be written as the quotient of two integers  (p and q) like shown below:

[tex] \frac {p} {q} [/tex] which can be represented as  [tex] \frac {127} {1} [/tex]

But if it is the square root of the same number [tex]\sqrt{127}[/tex], then it would be an irrational number since the square root of 127 would gives a decimal number that will keep going on and cannot be represented as a fraction.