Yes.
A simple example: sqrt(2)*sqrt(2) = 2
This property is used to "simplify" (rationalise the denominator of) surds.
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The product of two rational numbers is always a rational number.
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.
Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.
yes it can, look at the example √3 times the √3 is 3. these two are rational numbers.
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.