If p and q are prime positive integers, then prove that sqrt(p)+sqrt(q) is an irrational number. ,

If p,q are prime positive integers,prove that sqrt(p)+sqrt(q) is an irrational number.

Prove that sqrt(p)+sqrt(q) is an irrational,where p and q are primes.

Prove that for any prime positive integer p,quad sqrt(p) is an irrational number.

If p and q are positive integers, then (p)/(q) is a ______ rational number and (p) (-q) is a ______ rational number.

If p and q are positive integers, then which one of the following equations has p-sqrt(q) as one of its roots ?

If p and q are primes such that p=q+2 prove that p^(p)+q^(q) is a multiple of p+q

If r,s,t are prime numbers and p,q are the positive integers such that LCM of p,q is r^(2)s^(4)t^(2) , then the number of ordered pairs (p,q) is: