Answer
$\dfrac{2}{x}$
Work Step by Step
Rewrite the radicand as a product of bases raised to the $2^{nd}$ power so that we can take them out from under the radical sign. Since we are working with a fraction in this problem, we will use this step for both the numerator and the denominator:
$=\dfrac{\sqrt {(6)^2(x^2)^2}}{\sqrt {(3)^2(x^3)^2}}$
Take the square root of everything that is raised to the power of $2$ from under the radical sign, then simplify:
$=\dfrac{6x^2}{3x^3}$
$=\dfrac{2x^2}{x^3}$
$=\dfrac{2x^2}{x^2(x)}$
Cancel the common facto $x^2$ to obtain:
$=\dfrac{2}{x}$
