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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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14y ago

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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


What describes the quotient of a nonzero rational number and an irrational number?

The quotient of a nonzero rational number and an irrational number is always an irrational number. This is because dividing a rational number (which can be expressed as a fraction of integers) by an irrational number cannot result in a fraction that can be simplified to a rational form. Therefore, the result remains outside the realm of rational numbers.