![show \: that \: 13 - \sqrt{8} - \sqrt[1]{8} - \sqrt{7} + \sqrt[1]{7} - \sqrt{6} - \sqrt[1]{6} - \sqrt{5} + \sqrt[1]{5} - 2 = 5](https://tex.z-dn.net/?f=show+%5C%3A+that+%5C%3A+13+-++%5Csqrt%7B8%7D++-++%5Csqrt%5B1%5D%7B8%7D++-++%5Csqrt%7B7%7D++%2B++%5Csqrt%5B1%5D%7B7%7D++-++%5Csqrt%7B6%7D++-++%5Csqrt%5B1%5D%7B6%7D++-++%5Csqrt%7B5%7D++%2B++%5Csqrt%5B1%5D%7B5%7D++-+2+%3D+5 "show \: that \: 13 - \sqrt{8} - \sqrt[1]{8} - \sqrt{7} + \sqrt[1]{7} - \sqrt{6} - \sqrt[1]{6} - \sqrt{5} + \sqrt[1]{5} - 2 = 5")
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