No. Prime numbers are positive integers, and integers are not irrational.
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A prime number is a natural number that has no natural number as a factor other than itself or 1. An irrational number is not a natural number, so an irrational number can't be prime.
No. 19 is a prime number, and all prime numbers have irrational roots.
All irrational numbers are Real numbers - it's part of the definition of an irrational number. Imaginary numbers are neither rational nor irrational. An example of a number that is both Real and irrational is the square root of two. Another example is the number pi.
The proposition is not true.pi and -pi are both irrational. But their sum, = 0, is rational.
5 = 5.0005, therefore, is not irrational as it does not contain a perpetual non-repeating character string after the decimal.However, 5 is a prime number.