Answer
The degree $\dfrac{1}{2}$ is not an integer. Therefore, the given function is not a polynomial.
Work Step by Step
A polynomial function is a function that has the form:
$f(x)=a_n x^n +a_{n-1} x^{n-1}++a_1 x+ a_0$
Where the coefficients $(a_n, a_{n-1}..)$ are real numbers and $n$ represents a non-negative integer.
We can see from the given function that the term $\sqrt x$ or, $x^{1/2}$ has a non-integer power $\dfrac{1}{2}$ . Since the degree $\dfrac{1}{2}$ is not a integer, the given function is not a polynomial.
