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tanjung

  • 2 years ago

simplify !

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  1. tanjung
    • 2 years ago
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    |dw:1351239983066:dw|

  2. jayz657
    • 2 years ago
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    \[\sum_{1}^{99} \frac{ \sqrt{10+\sqrt{n}} }{ \sqrt{10-\sqrt{n}} }\]

  3. tanjung
    • 2 years ago
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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 !!!

  4. jayz657
    • 2 years ago
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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

  5. tanjung
    • 2 years ago
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    any ideas guys

  6. Jonask
    • 2 years ago
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    lets try rationalise

  7. tanjung
    • 2 years ago
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    too long this fraction, lol

  8. Jonask
    • 2 years ago
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    4,9,25,36,49,64,81 are special here

  9. estudier
    • 2 years ago
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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)

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