It is not always irrational.
any simple expression with π in it can generally be counted on to be irrational. like this one.
If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.
If you multiply a rational and an irrational number, the result will be irrational.
The result is irrational.
Unless the rational number is zero, the answer is 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.
Multiply it by 0. The result is 0, which is rational. That is the only way that will work with all irrational numbers.
No, the result is always an irrational number. In more advanced math it is possible to add an infinite amount of rational numbers by way of Taylor Series and get an irrational number. This is how numbers like "Pi" and "e" are derived.
The result would be an irrational number