State whether the following statement is True or False. Justify your answer.
$\frac{6 \sqrt{x} + x^{\frac{3}{2}}}{\sqrt{x}}$ is a polynomial,where $x \neq 0$.

(TRUE) The statement is True.
To justify,we simplify the given expression:
$\frac{6 \sqrt{x} + x^{\frac{3}{2}}}{\sqrt{x}} = \frac{6 \sqrt{x}}{\sqrt{x}} + \frac{x^{\frac{3}{2}}}{\sqrt{x}}$
$= 6 + x^{\frac{3}{2} - \frac{1}{2}}$
$= 6 + x^1$
$= 6 + x$
Since $6 + x$ is an expression where the exponent of the variable $x$ is a non-negative integer $(1)$,it satisfies the definition of a polynomial. Therefore,the statement is True.