Check to see if i simplified this radical correctly

Okay, so the question is: √(18/3) and you have to simplify it. I did:
1) √18/√3

2) √(9*2)/√3

3) 3√2/√3 is my final answer. However, I'm not sure if you can simplify it further or if this is the furthest it can go. Help, please?

(18/3) = (3*6)/3 = 6

so √(18/3) = √6

√18/√3 = √(18/3)=√6