It is always true.
The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.
No.A rational times an irrational is never rational. It is always 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.
It is always irrational.
The product of 0 and an irrational is 0 (a rational), the product of a non-zero rational and any irrational is always irrational.
The square of a rational number can be either rational or irrational. However, the square of an irrational number is always irrational.
Provided that the rational number is not 0, the product is irrational.
It is always rational.
Actually the product of a nonzero rational number and another rational number will always be rational.The product of a nonzero rational number and an IRrational number will always be irrational. (You have to include the "nonzero" caveat because zero times an irrational number is zero, which is rational)
Not if the rational number is zero. In all other cases, the product is irrational.
No, but the only exception is if the rational number is zero.