Simplify √48ab^2

I'm not sure how to do this. Please help me and explain how you got the answer. Thank you so much. After I understand, I want to try the rest questions I was assigned and if you can, please let me know if it's right or wrong.

√(48ab^2)

= √48 * √a * √b^2
= √16 * √3 * √a * b
= 4b√(3a)