No.A rational times an irrational is never rational. It is always irrational.
No. A rational plus an irrational is always an irrational.
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.
It is always irrational.
The product of an irrational number and a rational number, both nonzero, is always irrational
Such a product is always irrational - unless the rational number happens to be zero.
Irrational numbers are never rational numbers
No. It's always irrational.
In general, no. It is possible though. (2pi)/pi is rational. pi2/pi is irrational. The ratio of two rationals numbers is always rational and the ratio of a rational and an irrational 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.
No. sqrt(3) - sqrt(2) is irrational.
Such a sum is always rational.
Yes. In fact, a rational plus or minus an irrational will always be 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).
If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.
The product of 0 and an irrational is 0 (a rational), the product of a non-zero rational and any irrational 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)
Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.
They are always rational.
It is always rational.
No, but the only exception is if the rational number is zero.
No. sqrt(2)/pi is not rational.
It is not always irrational.