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No. It is not defined if the rational number happens to be 0.

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Q: Is the quotient of an irrational number and a rational number always irrational?
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Related questions

Is the quotient of a rational number and an irrational number rational?

No. It's always irrational.


When an irrational number is divided by a rational number is the quotient rational or irrational?

Irrational.


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

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


What is the deifition for irrational number?

An irrational number is a number that is not rational. A rational number is a number that can be expressed as the quotient of two integers, the divisor not being zero.


Is the sum of a rational and irrational number rational or irrational?

It is always irrational.


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

It is always irrational.


When you multiply an irrational number by a rational number will the answer always be irrational rational or both?

It will be irrational.


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


What is the product of rational and irrational number?

The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.


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

Such a product is always irrational - unless the rational number happens to be zero.


Is the quotient of two nonzero numbers always a rational number?

Yes, as long as the two nonzero numbers are themselves rational. (Since a rational number is any number that can be expressed as the quotient of two rational numbers, or any number that can be written as a fraction using only rational numbers.) If one of the nonzero numbers is not rational, the quotient will most likely be irrational.


Can you add irrational number and a rational to get a rational number?

If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.