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That ain't necessarily true in all cases. For example, square root of 2 Times Square root of 2 is equal to two, which is RATIONAL.

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Q: Why does a nonzero number times an irrational number eaqual an iraational number?
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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?

It is irrational.


Nonzero rational number and in irrational number makes what?

An irrational number.


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

It is an irrational number.


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

It is always irrational.


The product of nonzero rational number and an irrational number is irrational?

Yes.


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

Yes, always.


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

The product will be irrational.


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

Yes, always.


What does nonzero irrational number mean?

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.


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

O


Can you multiply an irrational number by a rational number and the answer is rational?

The product of an irrational number and a rational number, both nonzero, is always irrational