If p, q are prime positive integers, prove that is an irrational number.
Since it is given that p is a prime positive integer.
Therefore by theorem we know that √p is irrational number.
Similarly, q is also a prime positive integer.
Therefore by theorem √q is also a irrational number. Sum of irrational numbers is always an irrational number.
Therefore conclusively we can say that is an irrational number