Given: Different expressions as shown in the options
To Determine: Which of the expression cannot be part of a rational expression
Solution
A rational expression is simply a quotient of two polynomials. Or in other words, it is a fraction whose numerator and denominator are polynomials. e.g.
![(x+2)/(x-6)](https://img.qammunity.org/2023/formulas/mathematics/college/5dbczezcacv51r94ndxaivsbr068gv2q6h.png)
An irrational algebraic expression is one that is not rational
![√(x+1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/632po0dsjfvi3q35qsbmqplhwba0rv7tvg.png)
Hence, the expression that is not part of a rational expression is
3x² - 4√x