No.
A rational times an irrational is never rational. It is always irrational.
The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.
Not if the rational number is zero. In all other cases, the product is 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.
No, but the only exception is if the rational number is zero.
It is always rational.
The product of a rational and irrational number can be rational if the rational is 0. Otherwise 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.
Provided that the rational number is not 0, the product is irrational.
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.
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 product of an irrational number and a rational number, both nonzero, is always irrational
No, but the only exception is if the rational number is zero.
It is always rational.
Yes, always.
Yes, always.
Yes.
The product of two rational numbers is always a rational number.
No. If the rational number is not zero, then such a product is irrational.
No, it cannot. The product of a rational and irrational is always irrational. And half a number is equivalent to multiplication by 0.5
The product of two rational numbers, as in this example, is always RATIONAL.However, if you mean 10 x pi, pi is irrational; the product of a rational and an irrational number is ALWAYS IRRATIONAL, except for the special case in which the rational number is zero.
Yes, except in the degenerate case where the rational number is 0, in which case the product is also 0, a rational result.
It is always FALSE.