Wiki User
∙ 2012-08-04 07:25:11yes
Wiki User
∙ 2012-08-04 07:25:11No. 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.
It must be a generalised rational number. Otherwise, if you select a rational number to multiply, then you will only prove it for that number.
The product of an irrational number and a rational number, both nonzero, is always irrational
Yes, it is possible only if an irrational number is multiplied with 0.
Negative. Only like x like = positive
The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.
The product of two rational numbers is always a rational number.
Provided that the rational number is not 0, the product is irrational.
If the multiplicative inverse exists then, by definition, the product is 1 which is rational.
The product will also be a rational number
another rational number
Such a product is always irrational - unless the rational number happens to be zero.
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)
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.
It is a rational number.
It is a rational number.
It is always rational.