Q: The multiplication property works when the radicands are rational expressions?

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Yes. Rational functions must contain rational expressions in order to be rational.

Yes. An equation has an "=" sign.

Rational numbers are closed under multiplication, because if you multiply any rational number you will get a pattern. Rational numbers also have a pattern or terminatge, which is good to keep in mind.

After multiplying or dividing two rational expressions it is sometimes possible to simplify the resulting expression.

A Rational number is a fraction of two integers; a rational expression is a fraction that contains at least one variable

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Yes. Rational functions must contain rational expressions in order to be rational.

Suppose X1 = N1/D1 and X2 = N2/D2 are two rational expressions, where the numerators N1 and N2 and denominators D1 and D2 are simpler expressions. Then X1 * X2 = (N1*N2)/(D1*D2) and X1 / X2 = (N1*D2)/(D1*N2).

Yes, it applies to even multiplication of fractions and rational and irrational numbers.

another rational expression.

a rational function.

8+3/n

Rational linear expressions.

Yes. Rational functions must contain rational expressions in order to be rational.

Yes. Rational functions must contain rational expressions in order to be rational.

Yes. Rational functions must contain rational expressions in order to be rational.

Yes. An equation has an "=" sign.