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Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational]

0 [rational] * sqrt(2) [irrational] = 0 [rational]

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Q: Is a rational number times a irrational number?
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Related questions

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

No.A rational times an irrational is never rational. It is always irrational.


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Unless the rational number is zero, the answer is irrational.


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

Not necessarily. 0 times any irrational number is 0 - which is rational.


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 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)


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