Simplify the following expression: $$\sqrt{\sqrt{4096} + \sqrt[3]{4096} + \sqrt[4]{4096}}$$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Simplify the following expression: $$\sqrt{\sqrt{4096} + \sqrt[3]{4096} + \sqrt[4]{4096}}$$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
2\sqrt{22}
Simplify the following expression: $$\sqrt{\sqrt{4096} + \sqrt[3]{4096} + \sqrt[4]{4096}}$$
train