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The square root of 2 is irrational, yet the product of it with itself is 2. So the answer is no.

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Q: Is an irrational number times an irrational number always irrational?
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Related questions

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.


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.


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.


Is three times an irrational number always an irrational number?

yes, unless you were to simplify (example: 3 times 3/2 = 6/2 = 3)


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)


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.


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

Yes, always.


Is the difference of a rational number and an irrational number always ratioal?

No, it is always irrational.


If you divide a rational number by an irrational number is the result irrational?

It is not always irrational.


Is the sum of a rational and irrational number never an irrational number?

Wrong. It is always an irrational number.


Can an irrational number minus a rational number equal an irrational number?

Yes, it will always be irrational.


Is the square of a number irrational Always sometimes never?

The square of a rational number can be either rational or irrational. However, the square of an irrational number is always irrational.