Answer
$\frac{x}{y}$
Work Step by Step
Multiply both the numerator and denominator by a factor that will eliminate the radical in the denominator. That factor, in this exercise, will be $\sqrt {6y}$:
$\frac{\sqrt {6x^4y}}{\sqrt {6x^2y^3}} \bullet \frac{\sqrt {6y}}{\sqrt {6y}}$
Multiply to simplify:
$\frac{\sqrt {36x^4y^2}}{\sqrt {36x^2y^4}}$
Take the square roots of all perfect squares:
$\frac{6x^2y}{6xy^2}$
Cancel out common factors in the numerator and denominator:
$\frac{x}{y}$
