How does dividing radicals work?

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Here I have the problem $\dfrac{5\sqrt{24}\cdot 3\sqrt{45}}{\sqrt{6}}$. Not sure how to actually type it out here. How do I actually solve it? The answer says $90\sqrt{5}$ but how?

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$\sqrt{24} = 2\sqrt{6}$, and $\sqrt{45} = 3\sqrt{5}$, from this the answer follows.