yes it can, look at the example √3 times the √3 is 3. these two are rational numbers.
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The product of two rational numbers is always a rational number.
The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always 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!
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.
no x² is the product of 2 rational numbers in this case the same 2 numbers x and x The product of two rational numbers is always rational.