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# The multiplication property works when the radicands are rational expressions?

Updated: 4/28/2022

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Q: The multiplication property works when the radicands are rational expressions?
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### If the equation of a function is a rational expressions the function is rational?

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

### Describe how multiplication and division of rational expressions can be done?

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).

### Does the Commutative Property apply to addition of fractions?

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

### What is subtraction of rational expressions?

another rational expression.

### Equations that contain rational expressions?

a rational function.

8+3/n

### What are linear algebraic expressions using fractional coefficients?

Rational linear expressions.

### If the equation of a rational function is a rational expression is the function rational?

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

### If the equation of a function is a rational expression is the function rational?

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

### If the equation of a function is a rational expression the function is rational.?

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

### Is there a difference between rational expressions and rational equations?

Yes. An equation has an "=" sign.