No.
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No. A rational plus an irrational is always an irrational.
rational
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.