Q12 of 124 Page 1

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


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