p p is prime

Number Theory Level 1

True or False

p \sqrt{p} is a rational number for any prime p p .

False True

Munem Shahriar by Munem Shahriar , 18, Bangladesh

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2 solutions

Siva Budaraju
Aug 29, 2017

All we need is one counter-example: √2 is not rational.

5 Helpful 0 Interesting 0 Brilliant 0 Confused
Mohammad Farhat
Aug 22, 2018

If p is not a square number which is already told that p is prime so a prime number's square root is always irrational.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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