Answer:
2x³
Explanation:
Given the expression
[tex]\frac{\sqrt[]{12x^8}}{\sqrt[]{3x^2}}[/tex]Under the operation of division, we can combine the radicals as follows.
[tex]=\sqrt[]{\frac{12x^8}{3x^2}}[/tex]We then simplify:
[tex]\begin{gathered} =\sqrt[]{4x^{8-2}} \\ =\sqrt[]{4x^6} \end{gathered}[/tex]This can be further simplified to get:
[tex]\begin{gathered} =\sqrt[]{4}\times\sqrt[]{x^6} \\ =2\times x^{6\times\frac{1}{2}} \\ =2x^3 \end{gathered}[/tex]