Math, asked by ramcpkinggmailcom, 1 month ago

Prove that root p +root q are irrational where p q are primes

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Answered by BlinkTanya

Answer:Answer Expert Verified

Rational numbers are closed under multiplication, so if we square both sides, we still get rational numbers on both sides. ... So (x² - p - q) / 2 is rational. But since p and q are both primes, then pq is not a perfect square and therefore √(pq) is not rational.

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