Умоляю помогите,войдите в положение ,это очень нужно((((( только номера 1,7,10
Приложения:

Olesyaione69:
можно еще 6,8
Ответы
Ответ дал:
1
1)![\frac{ \sqrt[4]{4-2 \sqrt{3} }* \sqrt[4]{4+2 \sqrt{3} } }{
\sqrt{0,5} } = \frac{ \sqrt[4]{(4-2 \sqrt{3} )(4+2 \sqrt{3} )} }{
\sqrt{0,5} } = \frac{ \sqrt[4]{4^2-(2 \sqrt{3} )^2} }{\sqrt{0,5}} =
\frac{ \sqrt[4]{16-4*3} }{ \sqrt{0,5} } = \frac{ \sqrt[4]{4-2 \sqrt{3} }* \sqrt[4]{4+2 \sqrt{3} } }{
\sqrt{0,5} } = \frac{ \sqrt[4]{(4-2 \sqrt{3} )(4+2 \sqrt{3} )} }{
\sqrt{0,5} } = \frac{ \sqrt[4]{4^2-(2 \sqrt{3} )^2} }{\sqrt{0,5}} =
\frac{ \sqrt[4]{16-4*3} }{ \sqrt{0,5} } =](https://tex.z-dn.net/?f=+%5Cfrac%7B+%5Csqrt%5B4%5D%7B4-2++%5Csqrt%7B3%7D+%7D%2A+%5Csqrt%5B4%5D%7B4%2B2+%5Csqrt%7B3%7D+%7D+%7D%7B+%0A%5Csqrt%7B0%2C5%7D+%7D+%3D+%5Cfrac%7B+%5Csqrt%5B4%5D%7B%284-2++%5Csqrt%7B3%7D+%29%284%2B2++%5Csqrt%7B3%7D+%29%7D+%7D%7B+%0A%5Csqrt%7B0%2C5%7D+%7D+%3D+%5Cfrac%7B+%5Csqrt%5B4%5D%7B4%5E2-%282+%5Csqrt%7B3%7D+%29%5E2%7D+%7D%7B%5Csqrt%7B0%2C5%7D%7D+%3D+%0A%5Cfrac%7B+%5Csqrt%5B4%5D%7B16-4%2A3%7D+%7D%7B+%5Csqrt%7B0%2C5%7D+%7D+%3D)
![=\frac{ \sqrt[4]{4} }{ \sqrt{0,5} } = \frac{ \sqrt{2} }{ \sqrt{0,5} } = \sqrt{ \frac{2}{0,5} } = \sqrt{4} =2 =\frac{ \sqrt[4]{4} }{ \sqrt{0,5} } = \frac{ \sqrt{2} }{ \sqrt{0,5} } = \sqrt{ \frac{2}{0,5} } = \sqrt{4} =2](https://tex.z-dn.net/?f=%3D%5Cfrac%7B+%5Csqrt%5B4%5D%7B4%7D+%7D%7B+%5Csqrt%7B0%2C5%7D+%7D+%3D+%5Cfrac%7B+%5Csqrt%7B2%7D+%7D%7B+%5Csqrt%7B0%2C5%7D+%7D+%3D+%5Csqrt%7B+%5Cfrac%7B2%7D%7B0%2C5%7D+%7D+%3D+%5Csqrt%7B4%7D+%3D2)
![10)
\sqrt[5]{3} * \sqrt[10]{3} + \sqrt[5]{-3 \sqrt{3} } =3^{ \frac{1}{5}
}*3^{ \frac{1}{10} }+(-3* 3^{ \frac{1}{2} } )^{ \frac{1}{5} }= 10)
\sqrt[5]{3} * \sqrt[10]{3} + \sqrt[5]{-3 \sqrt{3} } =3^{ \frac{1}{5}
}*3^{ \frac{1}{10} }+(-3* 3^{ \frac{1}{2} } )^{ \frac{1}{5} }=](https://tex.z-dn.net/?f=10%29%0A+%5Csqrt%5B5%5D%7B3%7D+%2A+%5Csqrt%5B10%5D%7B3%7D+%2B+%5Csqrt%5B5%5D%7B-3+%5Csqrt%7B3%7D+%7D+%3D3%5E%7B+%5Cfrac%7B1%7D%7B5%7D+%0A%7D%2A3%5E%7B+%5Cfrac%7B1%7D%7B10%7D+%7D%2B%28-3%2A+3%5E%7B+%5Cfrac%7B1%7D%7B2%7D+%7D+%29%5E%7B+%5Cfrac%7B1%7D%7B5%7D+%7D%3D)

![6)\sqrt[4]{8*3} * \sqrt[4]{2*27} = \sqrt[4]{2^3*3*2*3^3} = \sqrt[4]{2^4*3^4} = \sqrt[4]{6^4} =6 6)\sqrt[4]{8*3} * \sqrt[4]{2*27} = \sqrt[4]{2^3*3*2*3^3} = \sqrt[4]{2^4*3^4} = \sqrt[4]{6^4} =6](https://tex.z-dn.net/?f=6%29%5Csqrt%5B4%5D%7B8%2A3%7D+%2A+%5Csqrt%5B4%5D%7B2%2A27%7D+%3D+%5Csqrt%5B4%5D%7B2%5E3%2A3%2A2%2A3%5E3%7D+%3D+%5Csqrt%5B4%5D%7B2%5E4%2A3%5E4%7D+%3D+%5Csqrt%5B4%5D%7B6%5E4%7D+%3D6)
8)![\sqrt[3]{8- \sqrt{37} } * \sqrt[3]{8+\sqrt{37} } = \sqrt[3]{(8- \sqrt{37})(8+\sqrt{37})} = \sqrt[3]{8^2- (\sqrt{37})^2} = \sqrt[3]{8- \sqrt{37} } * \sqrt[3]{8+\sqrt{37} } = \sqrt[3]{(8- \sqrt{37})(8+\sqrt{37})} = \sqrt[3]{8^2- (\sqrt{37})^2} =](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B8-+%5Csqrt%7B37%7D+%7D+%2A+%5Csqrt%5B3%5D%7B8%2B%5Csqrt%7B37%7D+%7D+%3D+%5Csqrt%5B3%5D%7B%288-+%5Csqrt%7B37%7D%29%288%2B%5Csqrt%7B37%7D%29%7D+%3D+%5Csqrt%5B3%5D%7B8%5E2-+%28%5Csqrt%7B37%7D%29%5E2%7D+%3D)
![= \sqrt[3]{64-37} = \sqrt[3]{27} = \sqrt[3]{3^3} =3 = \sqrt[3]{64-37} = \sqrt[3]{27} = \sqrt[3]{3^3} =3](https://tex.z-dn.net/?f=%3D+%5Csqrt%5B3%5D%7B64-37%7D+%3D+%5Csqrt%5B3%5D%7B27%7D+%3D+%5Csqrt%5B3%5D%7B3%5E3%7D+%3D3)
![\sqrt[6]{27a^5} * \sqrt[4]{9a} : \sqrt{9a^2} = \frac{(3^3*a^5)^{ \frac{1}{6} }*(3^2*a)^{ \frac{1}{4} }}{ \sqrt{(3*a)^2} } = \frac{3^{ \frac{1}{2} } *a^{ \frac{5}{6}}*3^{ \frac{1}{2} }*a^{ \frac{1}{4} }}{3*a} = \sqrt[6]{27a^5} * \sqrt[4]{9a} : \sqrt{9a^2} = \frac{(3^3*a^5)^{ \frac{1}{6} }*(3^2*a)^{ \frac{1}{4} }}{ \sqrt{(3*a)^2} } = \frac{3^{ \frac{1}{2} } *a^{ \frac{5}{6}}*3^{ \frac{1}{2} }*a^{ \frac{1}{4} }}{3*a} =](https://tex.z-dn.net/?f=+%5Csqrt%5B6%5D%7B27a%5E5%7D+%2A+%5Csqrt%5B4%5D%7B9a%7D+%3A+%5Csqrt%7B9a%5E2%7D+%3D+%5Cfrac%7B%283%5E3%2Aa%5E5%29%5E%7B+%5Cfrac%7B1%7D%7B6%7D+%7D%2A%283%5E2%2Aa%29%5E%7B+%5Cfrac%7B1%7D%7B4%7D+%7D%7D%7B+%5Csqrt%7B%283%2Aa%29%5E2%7D+%7D+%3D+%5Cfrac%7B3%5E%7B+%5Cfrac%7B1%7D%7B2%7D+%7D+%2Aa%5E%7B+%5Cfrac%7B5%7D%7B6%7D%7D%2A3%5E%7B+%5Cfrac%7B1%7D%7B2%7D+%7D%2Aa%5E%7B+%5Cfrac%7B1%7D%7B4%7D+%7D%7D%7B3%2Aa%7D+%3D)
![=3^{ \frac{1}{2} + \frac{1}{2} -1}*a^{ \frac{5}{6} + \frac{1}{4} -1} =3^0* a^{ \frac{1}{12} } = \sqrt[12]{a} =3^{ \frac{1}{2} + \frac{1}{2} -1}*a^{ \frac{5}{6} + \frac{1}{4} -1} =3^0* a^{ \frac{1}{12} } = \sqrt[12]{a}](https://tex.z-dn.net/?f=+%3D3%5E%7B+%5Cfrac%7B1%7D%7B2%7D+%2B+%5Cfrac%7B1%7D%7B2%7D+-1%7D%2Aa%5E%7B+%5Cfrac%7B5%7D%7B6%7D+%2B+%5Cfrac%7B1%7D%7B4%7D+-1%7D+%3D3%5E0%2A+a%5E%7B+%5Cfrac%7B1%7D%7B12%7D+%7D+%3D+%5Csqrt%5B12%5D%7Ba%7D+)
8)
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