The given expression is,
[tex](8x)\frac{1}{2}[/tex]The above expression can be rewritten as,
[tex]8x\times\frac{1}{2}=\frac{8}{2}x=4x[/tex]Since
[tex]\sqrt[]{16}=4[/tex]We can write
[tex]8x\times\frac{1}{2}=4x=\sqrt[]{16x^2}[/tex]Therefore, (8x)1/2 can be written in radical form as,
[tex]\sqrt[]{16x^2}[/tex]