No.A rational times an irrational is never rational. It is always irrational.
The product of two rational numbers is always a rational number.
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. It's always irrational.
A natural number is always a rational number .
No.A rational times an irrational is never rational. It is always irrational.
Yes, it is.
Yes, the sum is always rational.
The product of an irrational number and a rational number, both nonzero, is always irrational
The product of two rational numbers is always a rational number.
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 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)
The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.
No. It's always irrational.
Yes, always. That is the definition of a rational number.