Question

Prove that √p+√q is an irrational where p and q are primes

Answer 1

prime numbers are those numbers which have only two factors and the perfect square numbers have odd number of factors . so we can conclude that any prime numbers are not perfect squares . so roots of prime numbers are irrational number

Answer 2

let p=5,q=7
√5+√7=a/b,
where a and b are co primes
√5is a irrational number
and
√7 is a irrational number
so √5+√7 is not equal to a/b
this contridicts that our assumption is wrong