9514 1404 393
Answer:
(8/15)√5
Step-by-step explanation:
[tex]\dfrac{4\sqrt{12}}{3\sqrt{15}}=\dfrac{4}{3}\sqrt{\dfrac{12}{15}}=\dfrac{4}{3}\sqrt{\dfrac{4}{5}}=\dfrac{4}{3}\sqrt{\dfrac{2^2\cdot5}{5^2}}=\dfrac{4\cdot2\sqrt{5}}{3\cdot5}\\\\=\boxed{\dfrac{8\sqrt{5}}{15}}[/tex]
