Question

Prove that √p+√q is irrational .​

Answer 1

Answer:

Solution:Let us suppose that √p + √q is rational. ... => √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.