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Unless you multiply 0 with some irrational number, it is impossible. Here's why:
Let x,y be rational with x = a/b, z = c/d and y be the irrational number. If we presume xy = z then we have y = z/x. However, this is equal to (c/d)/(a/b) = (bc)/(ad), which is rational. Since y is assumed to be irrational, this cannot occur (unless one of b,c is zero).
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What is the product of rational and irrational number?
The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.
What does a rational number times an irrational number equal?
The product of 0 and an irrational is 0 (a rational), the product of a non-zero rational and any irrational is always irrational.
Why is the product of a rational number and an irrational number irrational?
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!
Is the product of a rational number and irrational number always rational?
No.A rational times an irrational is never rational. It is always irrational.
What is the classification of the product of a rational and an irrational number?
If you multiply a rational and an irrational number, the result will be irrational.
