\(\frac{(\sqrt{54})(\sqrt{20})}{\sqrt{189}} \\ = \frac{\sqrt{(54)(20)}}{\sqrt{189}} \\ = \frac{\sqrt{1080}}{\sqrt{189}} \\ = \frac{\sqrt{1080}(\sqrt{189})}{\sqrt{189}(\sqrt{189})} \\ = \frac{\sqrt{204,120}}{189} \\ = \frac{54\sqrt{70}}{189} \\ = \frac{2\sqrt{70}}{7}\)