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tanjung
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dw:1351239983066:dw

jayz657
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\[\sum_{1}^{99} \frac{ \sqrt{10+\sqrt{n}} }{ \sqrt{10\sqrt{n}} }\]

tanjung
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but i want to simplify it, my book told me that answer is cot(pi/8). but idk how to get it !!!

jayz657
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sorry im not exactly how to get you get that either
since it was a sequence, the simplest form i can think of was that

tanjung
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any ideas guys

Jonask
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lets try rationalise

tanjung
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too long this fraction, lol

Jonask
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4,9,25,36,49,64,81 are special here

estudier
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According to Wolfram this sum is 327.36 approx....
Which is not cot pi/8 (somebody check in case I did it wrong)