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Not necessarily. The value of 3 (rational) raised to the power 1/2 (rational) is not rational.
Unless the rational number is zero, the answer is irrational.
If you multiply a rational and an irrational number, the result will be irrational.
The result will also be a rational number.
Because when one rational number is subtracted from another rational number the result is a rational number. Don't forget that integers (ℤ) are a subset of rational numbers (ℚ).