Since when a radical doesn't have an index, is a square root, the first one can be simplified.
[tex]3\sqrt[]{5x}-6\sqrt[]{5x\text{ }}=-3\sqrt[]{5x}[/tex]The second option can be simplified.
[tex]^3\sqrt[]{5}+^{}2^3\sqrt[]{5}=3^3\sqrt[]{5}[/tex]The third one can be simplified.
[tex]5^3\sqrt[]{x}+\sqrt[]{x}[/tex]The last option cannot be simplified further.