Express in simplest radical form. \[ \begin{array}{l}5 x^{6} \\ \text { Answer } \\ 5 x^{3} \\ x^{3} \sqrt{5} \\ x^{3} \sqrt{5 x} \\ \sqrt{5 x^{6}}\end{array} \]

To express \(5 x^{6}\) in simplest radical form, we can break it down as follows: 1. The term \(x^{6}\) can be simplified as \((x^{3})^2\), which allows us to take it out of the square root when expressed in radical form. 2. Therefore, we can write \(5 x^{6}\) as \(5 (x^{3})^2\). Putting it all together, we have: \[ \sqrt{5 x^{6}} = x^{3} \sqrt{5} \] So, the final expression in simplest radical form is: \[ x^{3} \sqrt{5} \]