Ответы
Ответ дал:
0
№340, 1)
![(frac{sqrt{5}}{sqrt{5}-2}-frac{5}{2+sqrt{5}})(5+sqrt{5})=(frac{sqrt{5}(sqrt{5}+2)-5(sqrt{5}-2)}{(sqrt{5}-2)(sqrt{5}+2)})(5+sqrt{5})=\(frac{(sqrt{5})^2+2sqrt{5}-5sqrt{5}+10}{(sqrt{5})^2-2^2})(5+sqrt{5})=(frac{5-3sqrt{5}+10}{5-4})(5+sqrt{5})=\(15-3sqrt{5})(5+sqrt{5})=3(5-sqrt{5})(5+sqrt{5})=3(5^2-(sqrt{5})^2)=\3(25-5)=3*20=60 (frac{sqrt{5}}{sqrt{5}-2}-frac{5}{2+sqrt{5}})(5+sqrt{5})=(frac{sqrt{5}(sqrt{5}+2)-5(sqrt{5}-2)}{(sqrt{5}-2)(sqrt{5}+2)})(5+sqrt{5})=\(frac{(sqrt{5})^2+2sqrt{5}-5sqrt{5}+10}{(sqrt{5})^2-2^2})(5+sqrt{5})=(frac{5-3sqrt{5}+10}{5-4})(5+sqrt{5})=\(15-3sqrt{5})(5+sqrt{5})=3(5-sqrt{5})(5+sqrt{5})=3(5^2-(sqrt{5})^2)=\3(25-5)=3*20=60](https://tex.z-dn.net/?f=%28frac%7Bsqrt%7B5%7D%7D%7Bsqrt%7B5%7D-2%7D-frac%7B5%7D%7B2%2Bsqrt%7B5%7D%7D%29%285%2Bsqrt%7B5%7D%29%3D%28frac%7Bsqrt%7B5%7D%28sqrt%7B5%7D%2B2%29-5%28sqrt%7B5%7D-2%29%7D%7B%28sqrt%7B5%7D-2%29%28sqrt%7B5%7D%2B2%29%7D%29%285%2Bsqrt%7B5%7D%29%3D%5C%28frac%7B%28sqrt%7B5%7D%29%5E2%2B2sqrt%7B5%7D-5sqrt%7B5%7D%2B10%7D%7B%28sqrt%7B5%7D%29%5E2-2%5E2%7D%29%285%2Bsqrt%7B5%7D%29%3D%28frac%7B5-3sqrt%7B5%7D%2B10%7D%7B5-4%7D%29%285%2Bsqrt%7B5%7D%29%3D%5C%2815-3sqrt%7B5%7D%29%285%2Bsqrt%7B5%7D%29%3D3%285-sqrt%7B5%7D%29%285%2Bsqrt%7B5%7D%29%3D3%285%5E2-%28sqrt%7B5%7D%29%5E2%29%3D%5C3%2825-5%29%3D3%2A20%3D60)
№340, 4)
![(frac{sqrt{13}}{sqrt{13}-sqrt{2}}+frac{sqrt{2}}{sqrt{13}+sqrt{2}})(frac{2sqrt{26}-11}{17})=\(frac{sqrt{13}(sqrt{13}+sqrt{2})+sqrt{2}(sqrt{13}-sqrt{2})}{(sqrt{13}-sqrt{2})(sqrt{13}+sqrt{2})})(frac{2sqrt{26}-11}{17})=\(frac{(sqrt{13})^2+sqrt{13*2}+sqrt{2*13}-(sqrt{2})^2}{(sqrt{13})^2-(sqrt{2})^2})(frac{2sqrt{26}-11}{17})=(frac{13+2sqrt{26}-2}{13-2})(frac{2sqrt{26}-11}{17})=\(frac{2sqrt{26}+11}{11})(frac{2sqrt{26}-11}{17})=\ (frac{sqrt{13}}{sqrt{13}-sqrt{2}}+frac{sqrt{2}}{sqrt{13}+sqrt{2}})(frac{2sqrt{26}-11}{17})=\(frac{sqrt{13}(sqrt{13}+sqrt{2})+sqrt{2}(sqrt{13}-sqrt{2})}{(sqrt{13}-sqrt{2})(sqrt{13}+sqrt{2})})(frac{2sqrt{26}-11}{17})=\(frac{(sqrt{13})^2+sqrt{13*2}+sqrt{2*13}-(sqrt{2})^2}{(sqrt{13})^2-(sqrt{2})^2})(frac{2sqrt{26}-11}{17})=(frac{13+2sqrt{26}-2}{13-2})(frac{2sqrt{26}-11}{17})=\(frac{2sqrt{26}+11}{11})(frac{2sqrt{26}-11}{17})=\](https://tex.z-dn.net/?f=%28frac%7Bsqrt%7B13%7D%7D%7Bsqrt%7B13%7D-sqrt%7B2%7D%7D%2Bfrac%7Bsqrt%7B2%7D%7D%7Bsqrt%7B13%7D%2Bsqrt%7B2%7D%7D%29%28frac%7B2sqrt%7B26%7D-11%7D%7B17%7D%29%3D%5C%28frac%7Bsqrt%7B13%7D%28sqrt%7B13%7D%2Bsqrt%7B2%7D%29%2Bsqrt%7B2%7D%28sqrt%7B13%7D-sqrt%7B2%7D%29%7D%7B%28sqrt%7B13%7D-sqrt%7B2%7D%29%28sqrt%7B13%7D%2Bsqrt%7B2%7D%29%7D%29%28frac%7B2sqrt%7B26%7D-11%7D%7B17%7D%29%3D%5C%28frac%7B%28sqrt%7B13%7D%29%5E2%2Bsqrt%7B13%2A2%7D%2Bsqrt%7B2%2A13%7D-%28sqrt%7B2%7D%29%5E2%7D%7B%28sqrt%7B13%7D%29%5E2-%28sqrt%7B2%7D%29%5E2%7D%29%28frac%7B2sqrt%7B26%7D-11%7D%7B17%7D%29%3D%28frac%7B13%2B2sqrt%7B26%7D-2%7D%7B13-2%7D%29%28frac%7B2sqrt%7B26%7D-11%7D%7B17%7D%29%3D%5C%28frac%7B2sqrt%7B26%7D%2B11%7D%7B11%7D%29%28frac%7B2sqrt%7B26%7D-11%7D%7B17%7D%29%3D%5C)
![frac{(2sqrt{26}+11)(2sqrt{26}-11)}{11*17}=frac{(2sqrt{26})^2-11^2}{187}=frac{104-121}{187}=frac{-17}{187}=-frac{1}{11} frac{(2sqrt{26}+11)(2sqrt{26}-11)}{11*17}=frac{(2sqrt{26})^2-11^2}{187}=frac{104-121}{187}=frac{-17}{187}=-frac{1}{11}](https://tex.z-dn.net/?f=frac%7B%282sqrt%7B26%7D%2B11%29%282sqrt%7B26%7D-11%29%7D%7B11%2A17%7D%3Dfrac%7B%282sqrt%7B26%7D%29%5E2-11%5E2%7D%7B187%7D%3Dfrac%7B104-121%7D%7B187%7D%3Dfrac%7B-17%7D%7B187%7D%3D-frac%7B1%7D%7B11%7D)
№340, 4)
Ответ дал:
0
ты это с интернета взял?
Ответ дал:
0
Что я по-твоему писал последние 20 минут?
Ответ дал:
0
Редактор латекс, предоставленный сайтом, – отличная вещь при решении выражений с корнями, логарифмами и прочим
Ответ дал:
0
что такое tex ,frag
Ответ дал:
0
Ты, видимо, сидишь через телефон. Зайди через компьютер/ноутбук, и увидишь красивое решение =)
Вас заинтересует
1 год назад
1 год назад
6 лет назад
6 лет назад
8 лет назад