For
[tex]\sqrt[5]{x}[/tex]The result of the square root will be an integer between 2 and 5 inclusive, symbolically:
[tex]2\leq\sqrt[5]{x}\leq5[/tex]Since the square root has to be an integer between these two numbers, the value of x will be a value between their values when powered by 5:
[tex]\begin{gathered} 2^5\leq(\sqrt[5]{x})^5\leq5^5 \\ 32\leq x\leq3125 \end{gathered}[/tex]x will be a value between 32 and 3125.
