Find $x,$ given that \[\sqrt{x+7} - \sqrt{x} = \sqrt{3}.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find $x,$ given that \[\sqrt{x+7} - \sqrt{x} = \sqrt{3}.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{4}{3}
Find $x,$ given that \[\sqrt{x+7} - \sqrt{x} = \sqrt{3}.\]
train