Which of the following has the least value? $$A=\sqrt{2}, \quad
B=\sqrt[4]{4}, \quad
C=\sqrt[8]{8}.$$ Enter your answer as $A$, $B$, or $C$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Which of the following has the least value? $$A=\sqrt{2}, \quad
B=\sqrt[4]{4}, \quad
C=\sqrt[8]{8}.$$ Enter your answer as $A$, $B$, or $C$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
C
Which of the following has the least value? $$A=\sqrt{2}, \quad
B=\sqrt[4]{4}, \quad
C=\sqrt[8]{8}.$$ Enter your answer as $A$, $B$, or $C$.
train