Simplify the expression $$\sqrt{\dfrac{\dfrac4{\sqrt{24}}+\dfrac{\sqrt{3456}}9+\sqrt{6}}{\sqrt6}}.$$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Simplify the expression $$\sqrt{\dfrac{\dfrac4{\sqrt{24}}+\dfrac{\sqrt{3456}}9+\sqrt{6}}{\sqrt6}}.$$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
2
Simplify the expression $$\sqrt{\dfrac{\dfrac4{\sqrt{24}}+\dfrac{\sqrt{3456}}9+\sqrt{6}}{\sqrt6}}.$$
train