Simplify the expression $$\sqrt{\dfrac{\dfrac4{\sqrt{24}}+\dfrac{\sqrt{3456}}9+\sqrt{6}}{\sqrt6}}.$$
Question:
Simplify the expression $$\sqrt{\dfrac{\dfrac4{\sqrt{24}}+\dfrac{\sqrt{3456}}9+\sqrt{6}}{\sqrt6}}.$$
Answer:
Let's think step by step.

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