anonymous
  • anonymous
simplify !
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
|dw:1351239983066:dw|
anonymous
  • anonymous
\[\sum_{1}^{99} \frac{ \sqrt{10+\sqrt{n}} }{ \sqrt{10-\sqrt{n}} }\]
anonymous
  • anonymous
but i want to simplify it, my book told me that answer is cot(pi/8). but idk how to get it !!!

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anonymous
  • anonymous
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
anonymous
  • anonymous
any ideas guys
anonymous
  • anonymous
lets try rationalise
anonymous
  • anonymous
too long this fraction, lol
anonymous
  • anonymous
4,9,25,36,49,64,81 are special here
anonymous
  • anonymous
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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