Question

2. If p,q are prime positive integers prove that root p +root q is an irrational number

Answer 1

instead of 'a and b ' you can use 'p and q'

Answer 2

√p+√q is rational number ........ assume

√p+√q=a/b

square

p+q=1/2{(a/b)^2-p-q}...(1)

now p and q are prime positive number so

√p and √q is irrational number

also √pq

so in (1)

irrational=rational number

so contradiction