Let $a$ and $b$ be real numbers.  One of the roots of $x^3 + ax + b = 0$ is $1 + i \sqrt{3}.$  Find $a + b.$
Question:
Let $a$ and $b$ be real numbers.  One of the roots of $x^3 + ax + b = 0$ is $1 + i \sqrt{3}.$  Find $a + b.$
Answer:
Let's think step by step.

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Let $a$ and $b$ be real numbers.  One of the roots of $x^3 + ax + b = 0$ is $1 + i \sqrt{3}.$  Find $a + b.$
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