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.
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.
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)
Provided that the rational number is not 0, the product is 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.
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.
The product of two rational number is always rational.
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.
The question cannot be answered because it is based on a false premise.The product of a (not an!) rational number and an irrational number need not be irrational. For eample, the product ofthe rational number, 0, and the irrational number, pi, is 0. The product is rational, not irrational!
The product will be irrational.
If you multiply a rational and an irrational number, the result will be irrational.
No, and I can prove it: -- The product of two rational numbers is always a rational number. -- If the two numbers happen to be the same number, then it's the square root of their product. -- Remember ... the product of two rational numbers is always a rational number. -- So the square of a rational number is always a rational number. -- So the square root of an irrational number can't be a rational number (because its square would be rational etc.).
It is always irrational.
If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.
No. It's always irrational.
Irrational. If you multiply a rational number by an irrational number, you will always get an irrational number (except if the rational number happens to be zero).