Question

prove that√p+√q is irrational if p andq are prime numbers

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Answer 1

Step-by-step explanation:

Now, x, x2, p, q, & 2 are all rational, and rational numbers are closed under subtraction and division. So, 2(x2−p−q) is rational. But since p and q are both primes, then pq is not a perfect square and therefore pq is not rational. ... So, p and q is irrational

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