Answer:
\(\frac{5\sqrt{3} }{6}\)
Step-by-step explanation:
\(\sqrt{\frac{25}{288} }\) ÷ \(\sqrt{\frac{12}{288} }\) =
\(\sqrt{\frac{25}{288} / \frac{12}{288} }\) =
\(\sqrt{\frac{25}{288} * \frac{288}{12} }\) =
\(\sqrt{\frac{25}{4*3} }\) = \(\frac{5}{2} * \frac{1}{\sqrt{3} }\) =
\(\frac{5}{2} * \frac{\sqrt{3} }{\sqrt{3} * \sqrt{3} }\) = \(\frac{5\sqrt{3} }{6}\)
