Rationalize the denominator. \( \sqrt{\frac{13 x}{19 y}} \) \( \sqrt{\frac{13 x}{19 y}}=\square \) (Type an exact answer, using radical as needed.)

To rationalize the denominator of the expression \( \sqrt{\frac{13 x}{19 y}} \), we can multiply both the numerator and the denominator by \( \sqrt{19 y} \): \[ \sqrt{\frac{13 x}{19 y}} = \frac{\sqrt{13 x} \cdot \sqrt{19 y}}{\sqrt{19 y} \cdot \sqrt{19 y}} = \frac{\sqrt{13 x \cdot 19 y}}{19 y} \] So the rationalized form is: \[ \frac{\sqrt{247 xy}}{19 y} \] Thus, \( \sqrt{\frac{13 x}{19 y}} = \frac{\sqrt{247 xy}}{19 y} \).