Let $r$ and $s$ denote the two real roots of $x^2 - x \sqrt{5} + 1 = 0.$  Then determine $r^8 + s^8.$
Question:
Let $r$ and $s$ denote the two real roots of $x^2 - x \sqrt{5} + 1 = 0.$  Then determine $r^8 + s^8.$
Answer:
Let's think step by step.

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Let $r$ and $s$ denote the two real roots of $x^2 - x \sqrt{5} + 1 = 0.$  Then determine $r^8 + s^8.$
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