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Ответил Universalka
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1)![frac{6*( sqrt[3]{25}- sqrt[3]{5} +1) }{( sqrt[3]{5} +1)( sqrt[3]{25}- sqrt[3]{5} +1) }= frac{6*( sqrt[3]{25}- sqrt[3]{5}+1) }{( sqrt[3]{5}) ^{3} +1 ^{3} } = frac{6*( sqrt[3]{25} - sqrt[3]{5} +1)}{5+1} = frac{6( sqrt[3]{25}- sqrt[3]{5}+1) }{6} = sqrt[3]{25}- sqrt[3]{5} +1](https://tex.z-dn.net/?f=+frac%7B6%2A%28+sqrt%5B3%5D%7B25%7D-+sqrt%5B3%5D%7B5%7D+%2B1%29+%7D%7B%28+sqrt%5B3%5D%7B5%7D+%2B1%29%28+sqrt%5B3%5D%7B25%7D-+sqrt%5B3%5D%7B5%7D+%2B1%29+%7D%3D+frac%7B6%2A%28+sqrt%5B3%5D%7B25%7D-+sqrt%5B3%5D%7B5%7D%2B1%29++%7D%7B%28+sqrt%5B3%5D%7B5%7D%29+%5E%7B3%7D+%2B1+%5E%7B3%7D++%7D+%3D+frac%7B6%2A%28+sqrt%5B3%5D%7B25%7D+-+sqrt%5B3%5D%7B5%7D+%2B1%29%7D%7B5%2B1%7D+%3D+frac%7B6%28+sqrt%5B3%5D%7B25%7D-+sqrt%5B3%5D%7B5%7D%2B1%29++%7D%7B6%7D+%3D+sqrt%5B3%5D%7B25%7D-+sqrt%5B3%5D%7B5%7D+%2B1+ "frac{6*( sqrt[3]{25}- sqrt[3]{5} +1) }{( sqrt[3]{5} +1)( sqrt[3]{25}- sqrt[3]{5} +1) }= frac{6*( sqrt[3]{25}- sqrt[3]{5}+1) }{( sqrt[3]{5}) ^{3} +1 ^{3} } = frac{6*( sqrt[3]{25} - sqrt[3]{5} +1)}{5+1} = frac{6( sqrt[3]{25}- sqrt[3]{5}+1) }{6} = sqrt[3]{25}- sqrt[3]{5} +1")
2)![frac{3( sqrt[3]{4}-1)}{( sqrt[3]{4}-1)( sqrt[3]{16}+ sqrt[3]{4}+1) }= frac{3( sqrt[3]{4}-1) }{( sqrt[3]{4} ) ^{3}- 1 ^{3} } = frac{3( sqrt[3]{4} -1)}{4-1}= frac{3( sqrt[3]{4}-1) }{3} = sqrt[3]{4}-1](https://tex.z-dn.net/?f=+frac%7B3%28+sqrt%5B3%5D%7B4%7D-1%29%7D%7B%28+sqrt%5B3%5D%7B4%7D-1%29%28+sqrt%5B3%5D%7B16%7D%2B+sqrt%5B3%5D%7B4%7D%2B1%29+%7D%3D+frac%7B3%28+sqrt%5B3%5D%7B4%7D-1%29+%7D%7B%28+sqrt%5B3%5D%7B4%7D+%29+%5E%7B3%7D-+1+%5E%7B3%7D++%7D+%3D+frac%7B3%28+sqrt%5B3%5D%7B4%7D+-1%29%7D%7B4-1%7D%3D++frac%7B3%28+sqrt%5B3%5D%7B4%7D-1%29+%7D%7B3%7D+%3D+sqrt%5B3%5D%7B4%7D-1+++ "frac{3( sqrt[3]{4}-1)}{( sqrt[3]{4}-1)( sqrt[3]{16}+ sqrt[3]{4}+1) }= frac{3( sqrt[3]{4}-1) }{( sqrt[3]{4} ) ^{3}- 1 ^{3} } = frac{3( sqrt[3]{4} -1)}{4-1}= frac{3( sqrt[3]{4}-1) }{3} = sqrt[3]{4}-1")
2)
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