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.
Unless the rational number is zero, the answer is irrational.
It is not always 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.
Yes, but only if the rational number is non-zero.
If you multiply a rational and an irrational number, the result will be irrational.
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.
It is not always irrational.
-Pi is irrational, because it does not terminate or repeat. Whenever you multiply an irrational number by a rational number (-1), the result is an irrational number.
It the combination is multiplication and the rational number is 0, then the result is rational. Otherwise it is irrational.
When the rational number is 0.
Sqrt(2) is irrational. Multiply by sqrt(4.5). Result is 3 which is rational.
Yes, but only if the rational number is non-zero.
If you multiply an irrational number by ANY non-zero rational number, the result will be irrational.
Yes, except in the degenerate case where the rational number is 0, in which case the product is also 0, a rational result.
If you divide a rational number by an irrational number, or vice versa, you will ALMOST ALWAYS get an irrational result. The sole exception is if you divide zero (which is rational) by any irrational number.