For real numbers $t > 3,$ find the minimum value of
\[\frac{t}{\sqrt{t - 3}}.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
For real numbers $t > 3,$ find the minimum value of
\[\frac{t}{\sqrt{t - 3}}.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
2 \sqrt{3}
For real numbers $t > 3,$ find the minimum value of
\[\frac{t}{\sqrt{t - 3}}.\]
train