If $3+\sqrt{5}$ is a root of the equation \[x^2 - 3x + b = 0,\]compute $b.$
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<|im_start|>user
If $3+\sqrt{5}$ is a root of the equation \[x^2 - 3x + b = 0,\]compute $b.$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
-3 \sqrt{5} - 5
If $3+\sqrt{5}$ is a root of the equation \[x^2 - 3x + b = 0,\]compute $b.$
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