Question

Prove that √p + √q is irrational, where p,q are primes

Answer 1

Given that p,q are primes
hence,
√p, √q are irrational coz root of any prime is an irrational number
[ therefore p,q have no factors other than 1]
now,
√p + √q = sum of 2 irrational numbers
            = irrational number
therefore, √p + √q is an irrational number
hence it is proved