Essentially, what property of, where is prime, makes it irrational?

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Essentially, what property of<br><img src='https://www.fatskills.com/images2/GradExams/30782EEA-E421-4804-BAEC-9B660A5873CD.png' height='20' width='26'/>, where<br><img src='https://www.fatskills.com/images2/GradExams/C0CCB6FE-EC00-4358-9FF6-04C3E1F62A49.png' height='13' width='11'/> is prime, makes it irrational?