## tanjung 3 years ago simplify !

1. tanjung

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2. jayz657

$\sum_{1}^{99} \frac{ \sqrt{10+\sqrt{n}} }{ \sqrt{10-\sqrt{n}} }$

3. tanjung

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

4. jayz657

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

any ideas guys

lets try rationalise

7. tanjung

too long this fraction, lol