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1)
![sqrt{5} * sqrt[3]{5} * sqrt[6]{5} -( sqrt[9]{3} )^9+ sqrt[6]{64^2} = sqrt[6]{5^3*5^2*5}-3+ sqrt[6]{(2^2)^6}= sqrt{5} * sqrt[3]{5} * sqrt[6]{5} -( sqrt[9]{3} )^9+ sqrt[6]{64^2} = sqrt[6]{5^3*5^2*5}-3+ sqrt[6]{(2^2)^6}=](https://tex.z-dn.net/?f=+sqrt%7B5%7D+%2A+sqrt%5B3%5D%7B5%7D+%2A+sqrt%5B6%5D%7B5%7D+-%28+sqrt%5B9%5D%7B3%7D+%29%5E9%2B+sqrt%5B6%5D%7B64%5E2%7D+%3D+sqrt%5B6%5D%7B5%5E3%2A5%5E2%2A5%7D-3%2B+sqrt%5B6%5D%7B%282%5E2%29%5E6%7D%3D+)
![=sqrt[6]{5^6} -3+ 4=5-3+4=6 =sqrt[6]{5^6} -3+ 4=5-3+4=6](https://tex.z-dn.net/?f=%3Dsqrt%5B6%5D%7B5%5E6%7D++-3%2B+4%3D5-3%2B4%3D6)
2)
![sqrt[4]{28-16 sqrt{3}}= sqrt[4]{4^2+(2 sqrt{3})^2-16 sqrt{3} }= sqrt[4]{(4-2 sqrt{3})^2 } = sqrt{4-2 sqrt{3} } = sqrt[4]{28-16 sqrt{3}}= sqrt[4]{4^2+(2 sqrt{3})^2-16 sqrt{3} }= sqrt[4]{(4-2 sqrt{3})^2 } = sqrt{4-2 sqrt{3} } =](https://tex.z-dn.net/?f=+sqrt%5B4%5D%7B28-16+sqrt%7B3%7D%7D%3D+sqrt%5B4%5D%7B4%5E2%2B%282+sqrt%7B3%7D%29%5E2-16+sqrt%7B3%7D++%7D%3D+sqrt%5B4%5D%7B%284-2+sqrt%7B3%7D%29%5E2+%7D+%3D+sqrt%7B4-2+sqrt%7B3%7D+%7D+%3D)
![=sqrt{1^2+( sqrt{3})^2-2 sqrt{3} } = sqrt{( sqrt{3} -1)^2} =| sqrt{3} -1|= sqrt{3} -1 =sqrt{1^2+( sqrt{3})^2-2 sqrt{3} } = sqrt{( sqrt{3} -1)^2} =| sqrt{3} -1|= sqrt{3} -1](https://tex.z-dn.net/?f=%3Dsqrt%7B1%5E2%2B%28+sqrt%7B3%7D%29%5E2-2+sqrt%7B3%7D++%7D+%3D+sqrt%7B%28+sqrt%7B3%7D+-1%29%5E2%7D+%3D%7C+sqrt%7B3%7D+-1%7C%3D+sqrt%7B3%7D+-1)
2)
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