Question

prove that √p+√q is irrational.where p,q are primes​

Answer 1

√q = a – √pSquaring on both sides we getq = a2 + p - 2a√p=> √p = a2 + p - q/2a which is a contradiction as the right hand side is rational number while √p is irrational. Hence √p + √q is irrational.


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