Prove that for any prime positive integer p, $\sqrt{p}$ is an irrational number.

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Solution

Let us assume that is rational .Then, there exist positive co primes a and b such that

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Prove that for any prime positive integer p , √p is an irrational number.

\sqrt{p} + \sqrt{q}

\sqrt{p} + \sqrt{q}

If p,q are prime positive integers, prove that √p+ √q is an irrational number.

My doubt: how to find whether √p is an irrational number???

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