помогите решить 2 примера
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Ответил Universalka
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1) ![frac{ sqrt[3]{400}* sqrt[3]{25} }{ sqrt[3]{80} }= sqrt[3]{ frac{2 ^{4} *5 ^{2}*5 ^{2} }{2 ^{4}*5 } }= sqrt[3]{5 ^{3} } =5](https://tex.z-dn.net/?f=+frac%7B+sqrt%5B3%5D%7B400%7D%2A+sqrt%5B3%5D%7B25%7D++%7D%7B+sqrt%5B3%5D%7B80%7D+%7D%3D+sqrt%5B3%5D%7B+frac%7B2+%5E%7B4%7D+%2A5+%5E%7B2%7D%2A5+%5E%7B2%7D++%7D%7B2+%5E%7B4%7D%2A5+%7D+%7D%3D+sqrt%5B3%5D%7B5+%5E%7B3%7D+%7D+%3D5++ "frac{ sqrt[3]{400}* sqrt[3]{25} }{ sqrt[3]{80} }= sqrt[3]{ frac{2 ^{4} *5 ^{2}*5 ^{2} }{2 ^{4}*5 } }= sqrt[3]{5 ^{3} } =5")
2)![frac{ sqrt[4]{8} * sqrt[4]{48} }{ sqrt[4]{24} }= sqrt[4]{ frac{2 ^{3} *2 ^{4}*3 }{2 ^{3}*3 } } = sqrt[4]{2 ^{4} }=2](https://tex.z-dn.net/?f=+frac%7B+sqrt%5B4%5D%7B8%7D+%2A+sqrt%5B4%5D%7B48%7D+%7D%7B+sqrt%5B4%5D%7B24%7D+%7D%3D+sqrt%5B4%5D%7B+frac%7B2+%5E%7B3%7D+%2A2+%5E%7B4%7D%2A3+%7D%7B2+%5E%7B3%7D%2A3+%7D+%7D+%3D+sqrt%5B4%5D%7B2+%5E%7B4%7D+%7D%3D2++ "frac{ sqrt[4]{8} * sqrt[4]{48} }{ sqrt[4]{24} }= sqrt[4]{ frac{2 ^{3} *2 ^{4}*3 }{2 ^{3}*3 } } = sqrt[4]{2 ^{4} }=2")
2)
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