Ответы
Ответ дал:
0
3,57
а)![sqrt[3]{2}( sqrt[3]{4}+ sqrt[3]{500})= sqrt[3]{2}* sqrt[3]{4}*(1+5)=2*6](https://tex.z-dn.net/?f=+sqrt%5B3%5D%7B2%7D%28+sqrt%5B3%5D%7B4%7D%2B+sqrt%5B3%5D%7B500%7D%29%3D+sqrt%5B3%5D%7B2%7D%2A+sqrt%5B3%5D%7B4%7D%2A%281%2B5%29%3D2%2A6+++++ "sqrt[3]{2}( sqrt[3]{4}+ sqrt[3]{500})= sqrt[3]{2}* sqrt[3]{4}*(1+5)=2*6")
б)![sqrt[3]{0,81}* sqrt[3]{0,9}= sqrt[3]{0,81*0,9}= sqrt[3]{ 0,9^{3} } = 0,9](https://tex.z-dn.net/?f=+sqrt%5B3%5D%7B0%2C81%7D%2A+sqrt%5B3%5D%7B0%2C9%7D%3D+sqrt%5B3%5D%7B0%2C81%2A0%2C9%7D%3D+sqrt%5B3%5D%7B+0%2C9%5E%7B3%7D+%7D++++%3D+0%2C9 "sqrt[3]{0,81}* sqrt[3]{0,9}= sqrt[3]{0,81*0,9}= sqrt[3]{ 0,9^{3} } = 0,9")
в)![sqrt[4]{5} ( sqrt[4]{2000} - sqrt[4]{125})= sqrt[4]{5}* sqrt[4]{125} *( sqrt[4]{16} -1)= sqrt[4]{ 5^{4} } *(2-1)=5*1=5](https://tex.z-dn.net/?f=+sqrt%5B4%5D%7B5%7D+%28+sqrt%5B4%5D%7B2000%7D+-++sqrt%5B4%5D%7B125%7D%29%3D+sqrt%5B4%5D%7B5%7D%2A+sqrt%5B4%5D%7B125%7D+%2A%28+sqrt%5B4%5D%7B16%7D+-1%29%3D++sqrt%5B4%5D%7B+5%5E%7B4%7D+%7D+%2A%282-1%29%3D5%2A1%3D5 "sqrt[4]{5} ( sqrt[4]{2000} - sqrt[4]{125})= sqrt[4]{5}* sqrt[4]{125} *( sqrt[4]{16} -1)= sqrt[4]{ 5^{4} } *(2-1)=5*1=5")
г)![sqrt[4]{8} * sqrt[4]{1250} = sqrt[4]{8*1250} = sqrt[4]{ 2^{3}* 5^{4}*2 } =sqrt[4]{ 2^{4}* 5^{4} }=5*2](https://tex.z-dn.net/?f=+sqrt%5B4%5D%7B8%7D+%2A+sqrt%5B4%5D%7B1250%7D+%3D+sqrt%5B4%5D%7B8%2A1250%7D+%3D+sqrt%5B4%5D%7B+2%5E%7B3%7D%2A+5%5E%7B4%7D%2A2++%7D+%3Dsqrt%5B4%5D%7B+2%5E%7B4%7D%2A+5%5E%7B4%7D+%7D%3D5%2A2+ "sqrt[4]{8} * sqrt[4]{1250} = sqrt[4]{8*1250} = sqrt[4]{ 2^{3}* 5^{4}*2 } =sqrt[4]{ 2^{4}* 5^{4} }=5*2")
5,58
а)![sqrt[5]{8} * sqrt[5]{4} = sqrt[5]{8*4} = sqrt[5]{ 2^{5} } =2](https://tex.z-dn.net/?f=+sqrt%5B5%5D%7B8%7D+%2A+sqrt%5B5%5D%7B4%7D+%3D+sqrt%5B5%5D%7B8%2A4%7D+%3D+sqrt%5B5%5D%7B+2%5E%7B5%7D+%7D+%3D2 "sqrt[5]{8} * sqrt[5]{4} = sqrt[5]{8*4} = sqrt[5]{ 2^{5} } =2")
б)![sqrt[3]{4} * sqrt[3]{8} * sqrt[3]{-2} = sqrt[3]{-4*8*2} = sqrt[3]{ 2^{6} } = - 2^{2} =-4](https://tex.z-dn.net/?f=+sqrt%5B3%5D%7B4%7D+%2A+sqrt%5B3%5D%7B8%7D+%2A+sqrt%5B3%5D%7B-2%7D+%3D+sqrt%5B3%5D%7B-4%2A8%2A2%7D+%3D+sqrt%5B3%5D%7B+2%5E%7B6%7D+%7D+%3D+-++2%5E%7B2%7D+%3D-4 "sqrt[3]{4} * sqrt[3]{8} * sqrt[3]{-2} = sqrt[3]{-4*8*2} = sqrt[3]{ 2^{6} } = - 2^{2} =-4")
в)![sqrt[3]{4} * sqrt[3]{16}= sqrt[3]{4*16} = sqrt[3]{ 4^{3} } =4](https://tex.z-dn.net/?f=+sqrt%5B3%5D%7B4%7D+%2A++sqrt%5B3%5D%7B16%7D%3D+sqrt%5B3%5D%7B4%2A16%7D++%3D++sqrt%5B3%5D%7B+4%5E%7B3%7D+%7D+%3D4 "sqrt[3]{4} * sqrt[3]{16}= sqrt[3]{4*16} = sqrt[3]{ 4^{3} } =4")
г)![sqrt[5]{-7} * sqrt[5]{49}* sqrt[5]{49} = sqrt[5]{-7*49*49} = sqrt[5]{-7 ^{5} } =-7](https://tex.z-dn.net/?f=+sqrt%5B5%5D%7B-7%7D+%2A+sqrt%5B5%5D%7B49%7D%2A+sqrt%5B5%5D%7B49%7D++%3D+sqrt%5B5%5D%7B-7%2A49%2A49%7D+%3D+sqrt%5B5%5D%7B-7+%5E%7B5%7D+%7D+%3D-7 "sqrt[5]{-7} * sqrt[5]{49}* sqrt[5]{49} = sqrt[5]{-7*49*49} = sqrt[5]{-7 ^{5} } =-7")
а)
б)
в)
г)
5,58
а)
б)
в)
г)
Похожие вопросы
2 года назад
2 года назад
7 лет назад
10 лет назад
10 лет назад
10 лет назад