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▪В80.
![( sqrt{8} - 2 sqrt{5} )( sqrt{2} + sqrt[6]{20} )(2 - 2 times sqrt[6]{2.5} + sqrt[3]{20} ) = (2 sqrt{2} - 2 sqrt{5} )( sqrt{2} + sqrt[6]{20} )(2 - 2 times sqrt[6]{ frac{5}{2} } + sqrt[3]{20} ) = (2 sqrt{2} - 2 sqrt{5} )( {( sqrt{2} )}^{3} + {( sqrt[6]{20} )}^{3} = (2 sqrt{2} - 2 sqrt{5} )( 2sqrt{2} + sqrt{20} ) = (2 sqrt{2} - 2 sqrt{5} )( 2sqrt{2} + 2 sqrt{5} ) = {(2 sqrt{2} )}^{2} - {(2 sqrt{5}) }^{2} = 4 times 2 - 4 times 5 = 8 - 20 = - 12 ( sqrt{8} - 2 sqrt{5} )( sqrt{2} + sqrt[6]{20} )(2 - 2 times sqrt[6]{2.5} + sqrt[3]{20} ) = (2 sqrt{2} - 2 sqrt{5} )( sqrt{2} + sqrt[6]{20} )(2 - 2 times sqrt[6]{ frac{5}{2} } + sqrt[3]{20} ) = (2 sqrt{2} - 2 sqrt{5} )( {( sqrt{2} )}^{3} + {( sqrt[6]{20} )}^{3} = (2 sqrt{2} - 2 sqrt{5} )( 2sqrt{2} + sqrt{20} ) = (2 sqrt{2} - 2 sqrt{5} )( 2sqrt{2} + 2 sqrt{5} ) = {(2 sqrt{2} )}^{2} - {(2 sqrt{5}) }^{2} = 4 times 2 - 4 times 5 = 8 - 20 = - 12](https://tex.z-dn.net/?f=%28+sqrt%7B8%7D++-+2+sqrt%7B5%7D+%29%28+sqrt%7B2%7D++%2B++sqrt%5B6%5D%7B20%7D+%29%282+-+2+times++sqrt%5B6%5D%7B2.5%7D++%2B++sqrt%5B3%5D%7B20%7D+%29+%3D+%282+sqrt%7B2%7D++-+2+sqrt%7B5%7D+%29%28+sqrt%7B2%7D++%2B++sqrt%5B6%5D%7B20%7D+%29%282+-+2+times++sqrt%5B6%5D%7B+frac%7B5%7D%7B2%7D+%7D++%2B++sqrt%5B3%5D%7B20%7D+%29+%3D+%282+sqrt%7B2%7D++-+2+sqrt%7B5%7D+%29%28+%7B%28+sqrt%7B2%7D+%29%7D%5E%7B3%7D+++%2B+++%7B%28+sqrt%5B6%5D%7B20%7D+%29%7D%5E%7B3%7D++%3D+%282+sqrt%7B2%7D++-+2+sqrt%7B5%7D+%29%28+2sqrt%7B2%7D+++%2B+++sqrt%7B20%7D+%29+%3D+%282+sqrt%7B2%7D++-+2+sqrt%7B5%7D+%29%28+2sqrt%7B2%7D+++%2B+2+sqrt%7B5%7D+%29+%3D++%7B%282+sqrt%7B2%7D+%29%7D%5E%7B2%7D++-++%7B%282+sqrt%7B5%7D%29+%7D%5E%7B2%7D++%3D+4+times+2+-+4+times+5+%3D+8+-+20+%3D++-+12)
▪В81.
![( sqrt{27} + 3 sqrt{2} )( sqrt{3} - sqrt[6]{18} )(3 + 3 times sqrt[6]{ frac{2}{3} } + sqrt[3]{18} ) = (3 sqrt{3} + 3 sqrt{2} )( {( sqrt{3} )}^{3} - {( sqrt[6]{18} )}^{3} ) = (3 sqrt{3} + 3 sqrt{2} )(3 sqrt{3} - sqrt{18} ) = (3 sqrt{3} + 3 sqrt{2} )(3 sqrt{3} - 3sqrt{2} ) = {(3 sqrt{3}) }^{2} - {(3 sqrt{2}) }^{2} = 9 times 3 - 9 times 2 = 27 - 18 = 9 ( sqrt{27} + 3 sqrt{2} )( sqrt{3} - sqrt[6]{18} )(3 + 3 times sqrt[6]{ frac{2}{3} } + sqrt[3]{18} ) = (3 sqrt{3} + 3 sqrt{2} )( {( sqrt{3} )}^{3} - {( sqrt[6]{18} )}^{3} ) = (3 sqrt{3} + 3 sqrt{2} )(3 sqrt{3} - sqrt{18} ) = (3 sqrt{3} + 3 sqrt{2} )(3 sqrt{3} - 3sqrt{2} ) = {(3 sqrt{3}) }^{2} - {(3 sqrt{2}) }^{2} = 9 times 3 - 9 times 2 = 27 - 18 = 9](https://tex.z-dn.net/?f=%28+sqrt%7B27%7D++%2B+3+sqrt%7B2%7D+%29%28+sqrt%7B3%7D++-++sqrt%5B6%5D%7B18%7D+%29%283+%2B+3+times++sqrt%5B6%5D%7B+frac%7B2%7D%7B3%7D++%7D++%2B++sqrt%5B3%5D%7B18%7D+%29+%3D+%283+sqrt%7B3%7D+++%2B+3+sqrt%7B2%7D+%29%28+%7B%28+sqrt%7B3%7D+%29%7D%5E%7B3%7D+++-++%7B%28+sqrt%5B6%5D%7B18%7D+%29%7D%5E%7B3%7D+%29+%3D+%283+sqrt%7B3%7D++%2B+3+sqrt%7B2%7D+%29%283+sqrt%7B3%7D++-++sqrt%7B18%7D+%29+%3D+%283+sqrt%7B3%7D++%2B+3+sqrt%7B2%7D+%29%283+sqrt%7B3%7D++-++3sqrt%7B2%7D+%29++%3D++%7B%283+sqrt%7B3%7D%29+%7D%5E%7B2%7D++-+%7B%283+sqrt%7B2%7D%29+%7D%5E%7B2%7D+%3D+9+times+3+-+9+times+2+%3D+27+-+18+%3D+9)
▪В81.
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