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

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

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

The product of 0 and an irrational is 0 (a rational), the product of a non-zero rational and any irrational is always irrational.

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

Yes, always.

No, it is always irrational.

It is not always irrational.

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

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)

Yes, it will always be irrational.

Wrong. It is always an irrational number.

It will be irrational.

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