A rational expression is anything of the form P/Q where both P and Q are polynomials. The value of Q cannot be zero. Recall that polynomials cannot have square roots of variables in them. So we cannot have something like [tex]\sqrt{x}[/tex].
You can think of [tex]\sqrt{x}[/tex] as [tex]x^{1/2}[/tex]. The non-whole number exponent is not allowed with polynomials. Only positive whole numbers are allowed as exponents when it comes to polynomials.
Side note: choice C can be written as 4x^0 which is a polynomial (specifically it is a monomial of degree 0, similar to how choice A is as well).
3x² – 4√x cannot be a part of a rational expression. Then the correct option is B.
If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
If in the expression, there is a square root on any variable, then the expression become irrational or non-rational expression.
3x² – 4√x cannot be a part of a rational expression.
Then the correct option is B.
More about the rational number link is given below.
https://brainly.com/question/9466779
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