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At least one of the factors has to be irrational.* An irrational number times ANY number (except zero) is irrational.

* The product of two Irrational Numbers can be either rational or irrational.

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Q: Which number produces an irrational number when multiplied by?

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Every irrational number, when multiplied by 0.4 will produce an irrational number.

Any irrational number does.

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A negative irrational number can be thought of as an irrational number multiplied by -1, or an irrational number with a minus sign in front of it.

If you multiply an irrational number by ANY non-zero rational number, the result will be irrational.

Yes, unless the rational number is 0.

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Any irrational number will, eg √2, π, e.

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