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Any integer can be divided by any non-zero integer, and the result is a rational number.
Not necessarily. The value of 3 (rational) raised to the power 1/2 (rational) is not rational.
The result will also be a rational number.
It is irrational - unless the divisor is 0 in which case the division is not defined.
If you multiply a rational and an irrational number, the result will be irrational.