We will simplify the expression thus:
[tex]\frac{18x^2\sqrt[]{14x^8}}{6\sqrt[]{7x^4}}[/tex][tex]\frac{18x^2\times\sqrt[]{14}\times x^{8\times\frac{1}{2}}}{6\times\sqrt[]{7}\times x^{4\times\frac{1}{2}}}[/tex]
Simplifying further will give us:
[tex]\begin{gathered} \frac{3x^2\times\sqrt[]{2}\times x^4}{x^2} \\ \frac{3\times\sqrt[]{2}\times x^4}{1} \\ =3x^4\sqrt[]{2} \\ \text{The correct answer is option B.} \end{gathered}[/tex]
