Question

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Prove-- Any two irrational numbers are both composite or non-prime numbers

Answer 1

NO prime number is irrational; ALL prime numbers are rational! One of the characteristics of a prime number is that it's a positive integer, and positive integers are a subset of the set of integers which, in turn, is a subset of the set of rational numbers which are numbers which can be expressed as the quotient of two integers

$"a" and "b", i.e., a/b$

, where b does not equal zero and which are numbers which can be represented by either a repeating or a terminating decimal; Irrational numbers do not have these two characteristics. By definition, a prime number is a positive integer which is divisible (a zero remainder) by exactly two positive integers: itself and 1; therefore, the first prime number is 2, and, then, the next several are

$3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, and 43 --$

ALL positive integers and, therefore, all are rational, not irrational, numbers!

$hope \: its \: help \: u$