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What is the classification of the product of a rational and an irrational number?
If you multiply a rational and an irrational number, the result will be 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.
What The product of a non zero rational and an irrational number is irrational?
The product of a non-zero rational number and an irrational number is irrational because a rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction. When you multiply a non-zero rational number by an irrational number, the result cannot be simplified to a fraction, as it retains the non-repeating, non-terminating nature of the irrational number. Therefore, the product remains irrational.
When you multiply an irrational number by a rational number will the answer always be irrational rational or both?
It will be irrational.
Why is the product of a rational number and an irrational number irrational?
The question cannot be answered because it is based on a false premise.The product of a (not an!) rational number and an irrational number need not be irrational. For eample, the product ofthe rational number, 0, and the irrational number, pi, is 0. The product is rational, not irrational!
What is the classification of the product of a rational and an irrational number?
If you multiply a rational and an irrational number, the result 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.
What The product of a non zero rational and an irrational number is irrational?
The product of a non-zero rational number and an irrational number is irrational because a rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction. When you multiply a non-zero rational number by an irrational number, the result cannot be simplified to a fraction, as it retains the non-repeating, non-terminating nature of the irrational number. Therefore, the product remains irrational.
When you multiply an irrational number by a rational number will the answer always be irrational rational or both?
It will be irrational.
Is the product of a rational number and an irrational number always irrational?
No. 0 is a rational number and the product of 0 and any irrational number will be 0, a rational. Otherwise, though, the product will always be irrational.
Why is the product of a rational number and an irrational number irrational?
The question cannot be answered because it is based on a false premise.The product of a (not an!) rational number and an irrational number need not be irrational. For eample, the product ofthe rational number, 0, and the irrational number, pi, is 0. The product is rational, not irrational!
What is the product of one irrational number and one rational number?
Provided that the rational number is not 0, the product is irrational.
Is the product of a nonzero rational number and an irrational number rational or irrational?
It is always irrational.
Is the product of an irrational number and a rational number always an irrational number?
Not if the rational number is zero. In all other cases, the product is irrational.
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)
