Предмет: Алгебра,
автор: gjjvdsz
пожалуйста помогитеекее
Приложения:

Ответы
Автор ответа:
2
▪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} )( 2\sqrt{2} + \sqrt{20} ) = (2 \sqrt{2} - 2 \sqrt{5} )( 2\sqrt{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} )( 2\sqrt{2} + \sqrt{20} ) = (2 \sqrt{2} - 2 \sqrt{5} )( 2\sqrt{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+%5Csqrt%7B8%7D++-+2+%5Csqrt%7B5%7D+%29%28+%5Csqrt%7B2%7D++%2B++%5Csqrt%5B6%5D%7B20%7D+%29%282+-+2+%5Ctimes++%5Csqrt%5B6%5D%7B2.5%7D++%2B++%5Csqrt%5B3%5D%7B20%7D+%29+%3D+%282+%5Csqrt%7B2%7D++-+2+%5Csqrt%7B5%7D+%29%28+%5Csqrt%7B2%7D++%2B++%5Csqrt%5B6%5D%7B20%7D+%29%282+-+2+%5Ctimes++%5Csqrt%5B6%5D%7B+%5Cfrac%7B5%7D%7B2%7D+%7D++%2B++%5Csqrt%5B3%5D%7B20%7D+%29+%3D+%282+%5Csqrt%7B2%7D++-+2+%5Csqrt%7B5%7D+%29%28+%7B%28+%5Csqrt%7B2%7D+%29%7D%5E%7B3%7D+++%2B+++%7B%28+%5Csqrt%5B6%5D%7B20%7D+%29%7D%5E%7B3%7D++%3D+%282+%5Csqrt%7B2%7D++-+2+%5Csqrt%7B5%7D+%29%28+2%5Csqrt%7B2%7D+++%2B+++%5Csqrt%7B20%7D+%29+%3D+%282+%5Csqrt%7B2%7D++-+2+%5Csqrt%7B5%7D+%29%28+2%5Csqrt%7B2%7D+++%2B+2+%5Csqrt%7B5%7D+%29+%3D++%7B%282+%5Csqrt%7B2%7D+%29%7D%5E%7B2%7D++-++%7B%282+%5Csqrt%7B5%7D%29+%7D%5E%7B2%7D++%3D+4+%5Ctimes+2+-+4+%5Ctimes+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} - 3\sqrt{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} - 3\sqrt{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+%5Csqrt%7B27%7D++%2B+3+%5Csqrt%7B2%7D+%29%28+%5Csqrt%7B3%7D++-++%5Csqrt%5B6%5D%7B18%7D+%29%283+%2B+3+%5Ctimes++%5Csqrt%5B6%5D%7B+%5Cfrac%7B2%7D%7B3%7D++%7D++%2B++%5Csqrt%5B3%5D%7B18%7D+%29+%3D+%283+%5Csqrt%7B3%7D+++%2B+3+%5Csqrt%7B2%7D+%29%28+%7B%28+%5Csqrt%7B3%7D+%29%7D%5E%7B3%7D+++-++%7B%28+%5Csqrt%5B6%5D%7B18%7D+%29%7D%5E%7B3%7D+%29+%3D+%283+%5Csqrt%7B3%7D++%2B+3+%5Csqrt%7B2%7D+%29%283+%5Csqrt%7B3%7D++-++%5Csqrt%7B18%7D+%29+%3D+%283+%5Csqrt%7B3%7D++%2B+3+%5Csqrt%7B2%7D+%29%283+%5Csqrt%7B3%7D++-++3%5Csqrt%7B2%7D+%29++%3D++%7B%283+%5Csqrt%7B3%7D%29+%7D%5E%7B2%7D++-+%7B%283+%5Csqrt%7B2%7D%29+%7D%5E%7B2%7D+%3D+9+%5Ctimes+3+-+9+%5Ctimes+2+%3D+27+-+18+%3D+9)
▪В81.
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