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√3(8+2√5)/((8-2√5)(8+2√5))=
(8√3+2√15)/(64-20)=
(8√3+2√15)/44=
8√3/44+2√15/44=
2√3/11+√15/22
Dowód:
http://www.wolframalpha.com/input/?i=%E2%88%9A3%2F%288-2%E2%88%9A5%29%3D2%E2%88%9A3%2F11%2B%E2%88%9A15%2F22