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No. A rational plus an irrational is always an irrational.
It is always irrational.
The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.
No.A rational times an irrational is never rational. It is always irrational.