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![b) sqrt[5]{243z^6/z^3} = sqrt[]{243z^3} =3 sqrt[5]{z^3} b) sqrt[5]{243z^6/z^3} = sqrt[]{243z^3} =3 sqrt[5]{z^3}](https://tex.z-dn.net/?f=b%29+sqrt%5B5%5D%7B243z%5E6%2Fz%5E3%7D+%3D+sqrt%5B%5D%7B243z%5E3%7D+%3D3+sqrt%5B5%5D%7Bz%5E3%7D+)
![c) sqrt[4]{243a^5b^5*1/3*a^3b^3} = sqrt[4]{81a^8b^8} =3a^2b^2 c) sqrt[4]{243a^5b^5*1/3*a^3b^3} = sqrt[4]{81a^8b^8} =3a^2b^2](https://tex.z-dn.net/?f=c%29+sqrt%5B4%5D%7B243a%5E5b%5E5%2A1%2F3%2Aa%5E3b%5E3%7D+%3D+sqrt%5B4%5D%7B81a%5E8b%5E8%7D+%3D3a%5E2b%5E2)
2
a)x²-81≥0
(x-9)(x+9)≥0
x=9 U x=-9
x∈(-∞;-9] U [9;∞)
b)x∈R (степень нечетная)
3
![sqrt[5]{2 sqrt[3]{3} } = sqrt[15]{8*3} = sqrt[15]{24} sqrt[5]{2 sqrt[3]{3} } = sqrt[15]{8*3} = sqrt[15]{24}](https://tex.z-dn.net/?f=+sqrt%5B5%5D%7B2+sqrt%5B3%5D%7B3%7D+%7D+%3D+sqrt%5B15%5D%7B8%2A3%7D+%3D+sqrt%5B15%5D%7B24%7D+)
![sqrt[3]{2} = sqrt[15]{2^5} = sqrt[15]{32} sqrt[3]{2} = sqrt[15]{2^5} = sqrt[15]{32}](https://tex.z-dn.net/?f=+sqrt%5B3%5D%7B2%7D+%3D+sqrt%5B15%5D%7B2%5E5%7D+%3D+sqrt%5B15%5D%7B32%7D+)
![sqrt[5]{3} = sqrt[15]{3^3} = sqrt[15]{27} sqrt[5]{3} = sqrt[15]{3^3} = sqrt[15]{27}](https://tex.z-dn.net/?f=+sqrt%5B5%5D%7B3%7D+%3D+sqrt%5B15%5D%7B3%5E3%7D+%3D+sqrt%5B15%5D%7B27%7D+)
![sqrt[3]{2} ; sqrt[5]{3} ; sqrt[5]{2 sqrt[3]{3} } sqrt[3]{2} ; sqrt[5]{3} ; sqrt[5]{2 sqrt[3]{3} }](https://tex.z-dn.net/?f=+sqrt%5B3%5D%7B2%7D+%3B+sqrt%5B5%5D%7B3%7D+%3B+sqrt%5B5%5D%7B2+sqrt%5B3%5D%7B3%7D+%7D+)
2
a)x²-81≥0
(x-9)(x+9)≥0
x=9 U x=-9
x∈(-∞;-9] U [9;∞)
b)x∈R (степень нечетная)
3
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