square root of 10/3 times 27/32. Multiplying/Dividing/Simplifying Radicals

Question

i really need help on answering this problem

Answer 1

The problem is √(10/3) * (27/32) =?

multiplying we obtain: √((10/3)*(9/16)*(81/64)), operating inside the radical we may simplify: and obtain a more simplified answer (9/16)*√(15/2)