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Identify the number as rational or irrational. Explain. -√127

Mathematics
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An irrational number cannot be expressed in the form p/q whereas a rational number can be expressed in the p/q form. Rational numbers have either a terminating decimal representation or a non-terminating but recurring/repeating decimal representation whereas irrational numbers have a non-terminating and non-repeating decimal representation. Since sqrt(127) is a non-terminating and non repeating decimal expansion, the given number is an irrational number.
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Other answers:

this is what they are looking for irrational, because 127 is not a perfect square

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