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A rational times an irrational is never rational. It is always irrational.

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Q: Is the product of a rational number and irrational number always rational?
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Related questions

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.


Is the product of a rational number and an irrational number rational or irrational?

Such a product is always irrational - unless the rational number happens to be zero.


Is the product of a rational number and an irrational number 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.


Is the product of a nonzero rational number and an irrational number rational or irrational?

It is always irrational.


Is the product of an irrational number and a rational number always an irrational number?

Not if the rational number is zero. In all other cases, the product is 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.


What is the product of one irrational number and one rational number?

Provided that the rational number is not 0, the product is irrational.


Can you multiply an irrational number by a rational number and the answer is rational?

The product of an irrational number and a rational number, both nonzero, is always irrational


Is the product of a rational and irrational number always irrational?

No, but the only exception is if the rational number is zero.


Why the product of nonzero rational number and a rational number is an 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)


Is the product of two rational number irrational or rational?

It is always rational.


Is the product of a nonzero rational number and an irrational number irrational?

Yes, always.


Can half of an irrational number be rational?

No, it cannot. The product of a rational and irrational is always irrational. And half a number is equivalent to multiplication by 0.5


Is the product of any rational number and an irrational always irrational?

Yes.


Is the product of a nonzero rational and a irrational number irrational?

Yes, always.


Is the product of an irrational number and a rational number always equal an irrational number?

Yes, except in the degenerate case where the rational number is 0, in which case the product is also 0, a rational result.


Is 10x 3.14 irrational?

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.


Is the product of two rational numbers irrational?

The product of two rational number is always rational.


Does a rational number times an irrational number equal a rational number?

No. If the rational number is not zero, then such a product is irrational.


Is it true product of a non zero rational number and irrational number is rational number?

It is always FALSE.


Is it always sometimes or never true that the product of a non zero rational number and an irrational number is irrational?

It is always true.


Does an irrational number times an irrational number equal an irrational number?

Not always. For example sqrt(2) and 1/sqrt(2) are both irrational, but their product is the rational number 1.


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.


Is -9pie rational or 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).


When you multiply an irrational number by a rational number will the answer always be irrational rational or both?

It will be irrational.