Question

If p and q are two distinct irrational numbers, then which of the following is always an irrational number

Answer 1

root pq is the irrational number of p,q

Answer 2

Both p and q can be divided by 2. ... Rationality does not depend on being able to divide numerator and/or denominator by 2 (or any othernumber). If p and q are integers, thenp/q is rational. That's what 'rationalnumbers' means.