this is what I got.
√ 24x * √ 18y * √ 15y
2√ 6x * 3√ 2y * √ 15y
6 √ [ 6x * 2y * 15y ]
6 √ [ 180 * x * y^2 ]
6 √ [ 36 * 5 * x * y^2 ]
36y√ [ 5x ] ⇒ Correct !!!