Помогите плиз:
Преобразование выражений, содержащих операцию извлечение квадратного корня.
1)√6•7√54=
2)(√162-10√2)•√2=
3)(3√98-√128):√2=
4)4√5t-3/4√80t-12√125t/9=
5)(√e-5√d)(√d-√e)=
Приложения:
![](https://st.uroker.com/files/0c2/0c2c19dfec136eb9e84c7a1d3a779c7d.jpg)
Ответы
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1)
![sqrt{6} *7 sqrt{54} =7 sqrt{6*54} =7 sqrt{6*6*9} =7*6*3=126 sqrt{6} *7 sqrt{54} =7 sqrt{6*54} =7 sqrt{6*6*9} =7*6*3=126](https://tex.z-dn.net/?f=+sqrt%7B6%7D+%2A7+sqrt%7B54%7D+%3D7+sqrt%7B6%2A54%7D+%3D7+sqrt%7B6%2A6%2A9%7D+%3D7%2A6%2A3%3D126)
2)
![( sqrt{162} -10 sqrt{2} )*sqrt{2} = sqrt{162*2}- 10sqrt{2*2}= sqrt{81*2*2}-2*10=9*2-20 ( sqrt{162} -10 sqrt{2} )*sqrt{2} = sqrt{162*2}- 10sqrt{2*2}= sqrt{81*2*2}-2*10=9*2-20](https://tex.z-dn.net/?f=+%28+sqrt%7B162%7D+-10+sqrt%7B2%7D+%29%2Asqrt%7B2%7D+%3D+sqrt%7B162%2A2%7D-+10sqrt%7B2%2A2%7D%3D+sqrt%7B81%2A2%2A2%7D-2%2A10%3D9%2A2-20)
![=-2 =-2](https://tex.z-dn.net/?f=%3D-2)
3)
![(3 sqrt{98}- sqrt{128}): sqrt{2} =(21 sqrt{2}-8 sqrt{2} ): sqrt{2}=13 sqrt{2} : sqrt{2} =13 (3 sqrt{98}- sqrt{128}): sqrt{2} =(21 sqrt{2}-8 sqrt{2} ): sqrt{2}=13 sqrt{2} : sqrt{2} =13](https://tex.z-dn.net/?f=%283+sqrt%7B98%7D-+sqrt%7B128%7D%29%3A+sqrt%7B2%7D++%3D%2821+sqrt%7B2%7D-8+sqrt%7B2%7D+%29%3A+sqrt%7B2%7D%3D13+sqrt%7B2%7D+%3A+sqrt%7B2%7D+%3D13+++)
4)
![4 sqrt{5t}- frac{3}{4} sqrt{80t} -12 sqrt{ frac{125t}{9} } =4 sqrt{5t} - frac{3}{4}*4 sqrt{5t} -12* frac{5}{3} sqrt{5t} = 4 sqrt{5t}- frac{3}{4} sqrt{80t} -12 sqrt{ frac{125t}{9} } =4 sqrt{5t} - frac{3}{4}*4 sqrt{5t} -12* frac{5}{3} sqrt{5t} =](https://tex.z-dn.net/?f=4+sqrt%7B5t%7D-+frac%7B3%7D%7B4%7D+sqrt%7B80t%7D+-12+sqrt%7B+frac%7B125t%7D%7B9%7D+%7D+%3D4+sqrt%7B5t%7D+-+frac%7B3%7D%7B4%7D%2A4+sqrt%7B5t%7D+-12%2A+frac%7B5%7D%7B3%7D+sqrt%7B5t%7D+%3D+)
![4 sqrt{5t}-3 sqrt{5t}-20 sqrt{5t}=-19 sqrt{5t} 4 sqrt{5t}-3 sqrt{5t}-20 sqrt{5t}=-19 sqrt{5t}](https://tex.z-dn.net/?f=4+sqrt%7B5t%7D-3+sqrt%7B5t%7D-20+sqrt%7B5t%7D%3D-19+sqrt%7B5t%7D++++)
5)
![( sqrt{c}-5 sqrt{d})( sqrt{d} - sqrt{c} ) = sqrt{c*d} -5 sqrt{d*d} - sqrt{c*c} + 5sqrt{c*d} = ( sqrt{c}-5 sqrt{d})( sqrt{d} - sqrt{c} ) = sqrt{c*d} -5 sqrt{d*d} - sqrt{c*c} + 5sqrt{c*d} =](https://tex.z-dn.net/?f=%28+sqrt%7Bc%7D-5+sqrt%7Bd%7D%29%28+sqrt%7Bd%7D+-+sqrt%7Bc%7D+%29+%3D++sqrt%7Bc%2Ad%7D+-5+sqrt%7Bd%2Ad%7D+-+sqrt%7Bc%2Ac%7D+%2B+5sqrt%7Bc%2Ad%7D+%3D+)
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Спасибо
Ответ дал:
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перезагрузи, теперь без ошибок
Ответ дал:
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Спасибо)))
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