Question

Please help with the question and show work.

Answer 1

9514 1404 393

Answer:

(8/15)√5

Explanation:

`(4√(12))/(3√(15))=(4)/(3)\sqrt{(12)/(15)}=(4)/(3)\sqrt{(4)/(5)}=(4)/(3)\sqrt{(2^2\cdot5)/(5^2)}=(4\cdot2√(5))/(3\cdot5)\\\\=\boxed{(8√(5))/(15)}`