The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.
Yes.
Yes, always.
No.A rational times an irrational is never rational. It is always irrational.
Not if the rational number is zero. In all other cases, the product is irrational.
No. 0 is a rational number and the product of 0 and any irrational number will be 0, a rational. Otherwise, though, the product will always be irrational.
Such a product is always irrational - unless the rational number happens to be zero.
The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.
It is always irrational.
Yes.
Yes, always.
No.A rational times an irrational is never rational. It is always irrational.
Not if the rational number is zero. In all other cases, the product is irrational.
Yes, always.
The product of 0 and an irrational is 0 (a rational), the product of a non-zero rational and any irrational is always irrational.
Provided that the rational number is not 0, the product is irrational.
It is always true.