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 quotient of a nonzero rational number and an irrational number is always an irrational number. This is because dividing a rational number (which can be expressed as a fraction of integers) by an irrational number cannot result in a fraction that can be simplified to a rational form. Therefore, the result remains outside the realm of rational numbers.
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).
When the rational number is 0.
If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.
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).
It is irrational - unless the divisor is 0 in which case the division is not defined.
In the context of a macro or program, the values of the arguments of the function (variables) are substituted into the function and it is evaluated. The result is returned.
It the combination is multiplication and the rational number is 0, then the result is rational. Otherwise it is irrational.
Sqrt(2) is irrational. Multiply by sqrt(4.5). Result is 3 which is rational.
If you divide an integer by another integer, the result is a rational number by definition.
Yes, but only if the rational number is non-zero.