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