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Is the product of a rational number and a rational number a rational number?
Wiki User
∙ 11y ago
yes
Wiki User
∙ 11y ago
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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.
Which number can be multiplied to a rational number to explain that the product of two rational numbers is rational?
It must be a generalised rational number. Otherwise, if you select a rational number to multiply, then you will only prove it for that number.
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
Is it possible for the product of irrational number and a rational number to be a rational number?
Yes, it is possible only if an irrational number is multiplied with 0.
What is the product of a positive rational number and a negative rational number?
Negative. Only like x like = positive
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 two rational numbers irrational?
The product of two rational numbers is always a rational number.
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 number and its multiplicative inverse always a rational number?
If the multiplicative inverse exists then, by definition, the product is 1 which is rational.
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)
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 are the product of two rational numbers?
The product will also be a rational number
What is the product of a rational number and an integer?
another rational number
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 The product of two rational numbers?
It is a rational number.
What is the product of 2 rational numbers?
It is a rational number.
