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Ответил гюйс
0
1.
5+∛-64=5+∛(-4)³=5 - 4=1
4+![sqrt[4]{81} =4+ sqrt[4]{3^{4} } =4+3=7 sqrt[4]{81} =4+ sqrt[4]{3^{4} } =4+3=7](https://tex.z-dn.net/?f=+sqrt%5B4%5D%7B81%7D+%3D4%2B+sqrt%5B4%5D%7B3%5E%7B4%7D+%7D+%3D4%2B3%3D7)
![sqrt[4]{2}* sqrt[4]{8}= sqrt[4]{16} = sqrt[4]{4^{4}} =4 sqrt[4]{2}* sqrt[4]{8}= sqrt[4]{16} = sqrt[4]{4^{4}} =4](https://tex.z-dn.net/?f=+sqrt%5B4%5D%7B2%7D%2A++sqrt%5B4%5D%7B8%7D%3D++sqrt%5B4%5D%7B16%7D+%3D++sqrt%5B4%5D%7B4%5E%7B4%7D%7D+%3D4)
![frac{ sqrt[3]{54} }{ sqrt[3]{2} } } = frac{ sqrt[3]{2}* sqrt[3]{27} }{ sqrt[3]{2} } = sqrt[3]{3^{3}} =3 frac{ sqrt[3]{54} }{ sqrt[3]{2} } } = frac{ sqrt[3]{2}* sqrt[3]{27} }{ sqrt[3]{2} } = sqrt[3]{3^{3}} =3](https://tex.z-dn.net/?f=+frac%7B+sqrt%5B3%5D%7B54%7D+%7D%7B+sqrt%5B3%5D%7B2%7D+%7D+%7D+%3D+frac%7B+sqrt%5B3%5D%7B2%7D%2A+sqrt%5B3%5D%7B27%7D++%7D%7B+sqrt%5B3%5D%7B2%7D+%7D+%3D+sqrt%5B3%5D%7B3%5E%7B3%7D%7D+%3D3)
(2-∛6)(4+2∛6+∛36)=(2-∛6)(2+∛6)(2+∛6)=(4-6)(2+∛6)=4+2∛6
2.

![frac{32}{9-3 sqrt[3]{5}+ sqrt[3]{25} }- sqrt[3]{5} = frac{32- sqrt[3]{5} (9-3 sqrt[3]{5} + sqrt[3]{25} }{9-3 sqrt[3]{5}+ sqrt[3]{25} } = frac{32-9 sqrt[3]{5}+3*5- sqrt[3]{125} }{9-3 sqrt[3]{5}+ sqrt[3]{25}} = frac{32}{9-3 sqrt[3]{5}+ sqrt[3]{25} }- sqrt[3]{5} = frac{32- sqrt[3]{5} (9-3 sqrt[3]{5} + sqrt[3]{25} }{9-3 sqrt[3]{5}+ sqrt[3]{25} } = frac{32-9 sqrt[3]{5}+3*5- sqrt[3]{125} }{9-3 sqrt[3]{5}+ sqrt[3]{25}} =](https://tex.z-dn.net/?f=+frac%7B32%7D%7B9-3+sqrt%5B3%5D%7B5%7D%2B+sqrt%5B3%5D%7B25%7D++%7D-+sqrt%5B3%5D%7B5%7D++%3D+frac%7B32-+sqrt%5B3%5D%7B5%7D+%289-3+sqrt%5B3%5D%7B5%7D+%2B+sqrt%5B3%5D%7B25%7D+%7D%7B9-3+sqrt%5B3%5D%7B5%7D%2B+sqrt%5B3%5D%7B25%7D+%7D+%3D+frac%7B32-9+sqrt%5B3%5D%7B5%7D%2B3%2A5-+sqrt%5B3%5D%7B125%7D++%7D%7B9-3+sqrt%5B3%5D%7B5%7D%2B+sqrt%5B3%5D%7B25%7D%7D+%3D)
![frac{42-9 sqrt[3]{5} }{9-3 sqrt[3]{5}+ sqrt[3]{25}} frac{42-9 sqrt[3]{5} }{9-3 sqrt[3]{5}+ sqrt[3]{25}}](https://tex.z-dn.net/?f=frac%7B42-9+sqrt%5B3%5D%7B5%7D+%7D%7B9-3+sqrt%5B3%5D%7B5%7D%2B+sqrt%5B3%5D%7B25%7D%7D)
3.
∛24=∛8 * ∛3=2∛3
![sqrt[4]{3a^{4} } =a sqrt[4]{3} sqrt[4]{3a^{4} } =a sqrt[4]{3}](https://tex.z-dn.net/?f=+sqrt%5B4%5D%7B3a%5E%7B4%7D+%7D+%3Da+sqrt%5B4%5D%7B3%7D+)
![sqrt[4]{5 x^{4} } =x sqrt[4]{5} sqrt[4]{5 x^{4} } =x sqrt[4]{5}](https://tex.z-dn.net/?f=+sqrt%5B4%5D%7B5+x%5E%7B4%7D+%7D+%3Dx+sqrt%5B4%5D%7B5%7D+)
4.
2∛5=∛(2³*5)=∛(8*5)=∛40
![b sqrt[4]{6} = sqrt[4]{6b^{4} } b sqrt[4]{6} = sqrt[4]{6b^{4} }](https://tex.z-dn.net/?f=b+sqrt%5B4%5D%7B6%7D+%3D+sqrt%5B4%5D%7B6b%5E%7B4%7D+%7D+)
![ysqrt[4]{2} = sqrt[4]{2y^{4}} ysqrt[4]{2} = sqrt[4]{2y^{4}}](https://tex.z-dn.net/?f=ysqrt%5B4%5D%7B2%7D+%3D+sqrt%5B4%5D%7B2y%5E%7B4%7D%7D+)
5+∛-64=5+∛(-4)³=5 - 4=1
4+
(2-∛6)(4+2∛6+∛36)=(2-∛6)(2+∛6)(2+∛6)=(4-6)(2+∛6)=4+2∛6
2.
3.
∛24=∛8 * ∛3=2∛3
4.
2∛5=∛(2³*5)=∛(8*5)=∛40
Ответил гюйс
0
вот только 2 б сомневаюсь
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