ПРОШУ И УМОЛЯЮ ВАС 40 БАЛЛОВ
РЕШИТЕ АЛГЕБРУ
3 ВАРИАНТ ЗАДАНИЯ 1,2,3
ЗАРАНЕЕ СПАСИБО БОЛЬШОЕ
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Ответы на вопрос
Ответил wturm
0
№1
![a)6 + sqrt[3]{ - 125} = 6 + ( - 5) = 6 - 5 = 1 \ b)9 - sqrt[4]{1296} = 9 - 6 = 3 a)6 + sqrt[3]{ - 125} = 6 + ( - 5) = 6 - 5 = 1 \ b)9 - sqrt[4]{1296} = 9 - 6 = 3](https://tex.z-dn.net/?f=a%296+%2B++sqrt%5B3%5D%7B+-+125%7D++%3D+6+%2B+%28+-+5%29+%3D+6+-+5+%3D+1+%5C+b%299+-++sqrt%5B4%5D%7B1296%7D+%3D++9+-+6+%3D+3)
![v) sqrt[4]{3} times sqrt[4]{27} = sqrt[4]{3 times 27} = sqrt[4]{81} = 3 \ g) frac{ sqrt[5]{128} }{ sqrt[5]{4} } = sqrt[5]{ frac{128}{4} } = sqrt[5]{32} = 2 v) sqrt[4]{3} times sqrt[4]{27} = sqrt[4]{3 times 27} = sqrt[4]{81} = 3 \ g) frac{ sqrt[5]{128} }{ sqrt[5]{4} } = sqrt[5]{ frac{128}{4} } = sqrt[5]{32} = 2](https://tex.z-dn.net/?f=v%29+sqrt%5B4%5D%7B3%7D++times++sqrt%5B4%5D%7B27%7D++%3D++sqrt%5B4%5D%7B3+times+27%7D++%3D++sqrt%5B4%5D%7B81%7D++%3D+3+%5C+g%29+frac%7B+sqrt%5B5%5D%7B128%7D+%7D%7B+sqrt%5B5%5D%7B4%7D+%7D++%3D++sqrt%5B5%5D%7B+frac%7B128%7D%7B4%7D+%7D++%3D++sqrt%5B5%5D%7B32%7D++%3D+2)
![d)( sqrt[3]{9} - sqrt[3]{7} )( sqrt[3]{81} + sqrt[3]{63} + sqrt[3]{49} ) = sqrt[3]{9} times sqrt[3]{81} + sqrt[3]{9} times sqrt[3]{63} + sqrt[3]{9} times sqrt[3]{49} - sqrt[3]{7} times sqrt[3]{81} - sqrt[3]{7} times sqrt[3]{63} - sqrt[3]{7} times sqrt[3]{49} = sqrt[3]{9 times 9 times 9} + sqrt[3]{9 times 9 times 7} + sqrt[3]{9 times 7 times 7} - sqrt[3]{7 times 9 times 9} - sqrt[3]{7 times 7 times 9} - sqrt[3]{7 times 7 times 7} = 9 - 7 = 2 d)( sqrt[3]{9} - sqrt[3]{7} )( sqrt[3]{81} + sqrt[3]{63} + sqrt[3]{49} ) = sqrt[3]{9} times sqrt[3]{81} + sqrt[3]{9} times sqrt[3]{63} + sqrt[3]{9} times sqrt[3]{49} - sqrt[3]{7} times sqrt[3]{81} - sqrt[3]{7} times sqrt[3]{63} - sqrt[3]{7} times sqrt[3]{49} = sqrt[3]{9 times 9 times 9} + sqrt[3]{9 times 9 times 7} + sqrt[3]{9 times 7 times 7} - sqrt[3]{7 times 9 times 9} - sqrt[3]{7 times 7 times 9} - sqrt[3]{7 times 7 times 7} = 9 - 7 = 2](https://tex.z-dn.net/?f=d%29%28+sqrt%5B3%5D%7B9%7D++-++sqrt%5B3%5D%7B7%7D+%29%28+sqrt%5B3%5D%7B81%7D++%2B++sqrt%5B3%5D%7B63%7D++%2B++sqrt%5B3%5D%7B49%7D+%29+%3D++sqrt%5B3%5D%7B9%7D++times++sqrt%5B3%5D%7B81%7D++%2B++sqrt%5B3%5D%7B9%7D++times++sqrt%5B3%5D%7B63%7D++%2B++sqrt%5B3%5D%7B9%7D++times++sqrt%5B3%5D%7B49%7D++-++sqrt%5B3%5D%7B7%7D++times++sqrt%5B3%5D%7B81%7D++-++sqrt%5B3%5D%7B7%7D++times++sqrt%5B3%5D%7B63%7D++-++sqrt%5B3%5D%7B7%7D++times++sqrt%5B3%5D%7B49%7D++%3D++sqrt%5B3%5D%7B9+times+9+times+9%7D++%2B++sqrt%5B3%5D%7B9+times+9+times+7%7D++%2B++sqrt%5B3%5D%7B9+times+7+times+7%7D++-++sqrt%5B3%5D%7B7+times+9+times+9%7D++-++sqrt%5B3%5D%7B7+times+7+times+9%7D++-++sqrt%5B3%5D%7B7+times+7+times+7%7D++%3D+9+-+7+%3D+2)
№2
![a) frac{ sqrt{3} - sqrt{2} }{ sqrt[4]{3} + sqrt[4]{2} } = frac{( sqrt[4]{3} )^{2} - ( sqrt[4]{2})^{2} }{sqrt[4]{3} + sqrt[4]{2}} = frac{(sqrt[4]{3} - sqrt[4]{2})(sqrt[4]{3} + sqrt[4]{2})}{sqrt[4]{3} + sqrt[4]{2}} = sqrt[4]{3} - sqrt[4]{2} a) frac{ sqrt{3} - sqrt{2} }{ sqrt[4]{3} + sqrt[4]{2} } = frac{( sqrt[4]{3} )^{2} - ( sqrt[4]{2})^{2} }{sqrt[4]{3} + sqrt[4]{2}} = frac{(sqrt[4]{3} - sqrt[4]{2})(sqrt[4]{3} + sqrt[4]{2})}{sqrt[4]{3} + sqrt[4]{2}} = sqrt[4]{3} - sqrt[4]{2}](https://tex.z-dn.net/?f=a%29+frac%7B+sqrt%7B3%7D+-++sqrt%7B2%7D+%7D%7B+sqrt%5B4%5D%7B3%7D++%2B++sqrt%5B4%5D%7B2%7D+%7D++%3D++frac%7B%28+sqrt%5B4%5D%7B3%7D+%29%5E%7B2%7D++-+%28+sqrt%5B4%5D%7B2%7D%29%5E%7B2%7D++%7D%7Bsqrt%5B4%5D%7B3%7D++%2B++sqrt%5B4%5D%7B2%7D%7D++%3D++frac%7B%28sqrt%5B4%5D%7B3%7D+++-+++sqrt%5B4%5D%7B2%7D%29%28sqrt%5B4%5D%7B3%7D++%2B++sqrt%5B4%5D%7B2%7D%29%7D%7Bsqrt%5B4%5D%7B3%7D++%2B++sqrt%5B4%5D%7B2%7D%7D++%3D+sqrt%5B4%5D%7B3%7D+++-+++sqrt%5B4%5D%7B2%7D)
![b) frac{19}{ sqrt[3]{100} - sqrt[3]{90} + sqrt[3]{81} } - sqrt[3]{10} - sqrt[3]{9} = frac{19 - sqrt[3]{1000} + sqrt[3]{900} - sqrt[3]{810} - sqrt[3]{900} + sqrt[3]{810} - sqrt[3]{729} }{sqrt[3]{100} - sqrt[3]{90} + sqrt[3]{81} } = frac{19 - 10 - 9}{sqrt[3]{100} - sqrt[3]{90} + sqrt[3]{81} } = 0 b) frac{19}{ sqrt[3]{100} - sqrt[3]{90} + sqrt[3]{81} } - sqrt[3]{10} - sqrt[3]{9} = frac{19 - sqrt[3]{1000} + sqrt[3]{900} - sqrt[3]{810} - sqrt[3]{900} + sqrt[3]{810} - sqrt[3]{729} }{sqrt[3]{100} - sqrt[3]{90} + sqrt[3]{81} } = frac{19 - 10 - 9}{sqrt[3]{100} - sqrt[3]{90} + sqrt[3]{81} } = 0](https://tex.z-dn.net/?f=b%29+frac%7B19%7D%7B+sqrt%5B3%5D%7B100%7D+-++sqrt%5B3%5D%7B90%7D++%2B++sqrt%5B3%5D%7B81%7D+%7D++-++sqrt%5B3%5D%7B10%7D++-++sqrt%5B3%5D%7B9%7D++%3D++frac%7B19+-++sqrt%5B3%5D%7B1000%7D++%2B++sqrt%5B3%5D%7B900%7D++-++sqrt%5B3%5D%7B810%7D++-++sqrt%5B3%5D%7B900%7D+%2B++sqrt%5B3%5D%7B810%7D++-++sqrt%5B3%5D%7B729%7D+%7D%7Bsqrt%5B3%5D%7B100%7D+-++sqrt%5B3%5D%7B90%7D++%2B++sqrt%5B3%5D%7B81%7D+%7D++%3D++frac%7B19+-+10+-+9%7D%7Bsqrt%5B3%5D%7B100%7D+-++sqrt%5B3%5D%7B90%7D++%2B++sqrt%5B3%5D%7B81%7D+%7D++%3D+0)
№3
![a) sqrt[3]{56} = sqrt[3]{2 times 2 times 2 times 7} = 2 sqrt[3]{7} \ b) sqrt[4]{625 {a}^{4} b} = 5a sqrt[4]{b} a) sqrt[3]{56} = sqrt[3]{2 times 2 times 2 times 7} = 2 sqrt[3]{7} \ b) sqrt[4]{625 {a}^{4} b} = 5a sqrt[4]{b}](https://tex.z-dn.net/?f=a%29+sqrt%5B3%5D%7B56%7D++%3D++sqrt%5B3%5D%7B2+times+2+times+2+times+7%7D++%3D+2+sqrt%5B3%5D%7B7%7D++%5C+b%29+sqrt%5B4%5D%7B625+%7Ba%7D%5E%7B4%7D+b%7D++%3D+5a+sqrt%5B4%5D%7Bb%7D+)
![v) sqrt[4]{32 {x}^{4} {y}^{5} } = 2xy sqrt[4]{2y} v) sqrt[4]{32 {x}^{4} {y}^{5} } = 2xy sqrt[4]{2y}](https://tex.z-dn.net/?f=v%29+sqrt%5B4%5D%7B32+%7Bx%7D%5E%7B4%7D+%7By%7D%5E%7B5%7D++%7D++%3D+2xy+sqrt%5B4%5D%7B2y%7D+)
№2
№3
Ответил Аноним
0
ты лучший!
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