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How can I express this as a continued fraction?

$\left(\frac{2207 + 987\sqrt{5}}{2}\right)^{1/8}$

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You've asked sixteen questions and haven't accepted a single one. Continuing that will make some very clever people reluctant to provide an answer. It's polite to accept an answer that you think is good: it gives both you and the respondent a boost in reputation, which some people find important. To accept an answer, click on the check mark to the left of your question. Please do so. –  Rick Decker Nov 16 '12 at 3:36
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Oh I'm very sorry. I didn't know that. Okay I will do that now. Thank you! –  John Chang Nov 16 '12 at 7:31

1 Answer 1

up vote 4 down vote accepted

$$\frac{3 + \sqrt{5}}{2} = 2 + 1/(1 + 1/(1 + 1/\ldots))$$

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Wow. I just had to evaluate the 8th root. Thanks! –  John Chang Nov 16 '12 at 2:49

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