What is the nearest integer to $(2+\sqrt3)^4$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the nearest integer to $(2+\sqrt3)^4$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
194
What is the nearest integer to $(2+\sqrt3)^4$?
train