Question

Prove that √p+√q is irrational, where p and q are prime.​

Answer 1

Solution:

Let us suppose that √p + √q is rational.Let √p + √q = a where a 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.

Hence proved .

# Capricorn answer