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It means that:

a) The number is irragional, and

b) the number is not zero.

Since zero is rational, it isn't irrational, so saying that it is nonzero is really superfluous.

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Q: What does nonzero irrational number mean?
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Related questions

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)


What is product of a nonzero rational number and irrational number is?

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Yes, always.


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The product will be irrational.


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Is the absolute value of any nonzero number an irrational number?

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