determine o valor de:
![^3 \sqrt{-2,197} <br />[tex] ^3\sqrt{-1,728}](https://tex.z-dn.net/?f=+%5E3+%5Csqrt%7B-2%2C197%7D+%3Cbr+%2F%3E%5Btex%5D+%5E3%5Csqrt%7B-1%2C728%7D+ "^3 \sqrt{-2,197} <br />[tex] ^3\sqrt{-1,728}")
[/tex]
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![a) \sqrt{1,69} = \sqrt{ \frac{169}{100} }= \sqrt{ \frac{ 13^{2} }{ 10^{2} } } = \frac{13}{10} =\boxed{1,3} \\ \\ b) \sqrt[3]{-2,197}=- \sqrt[3]{2,197} =- \sqrt[3]{ \frac{2197}{1000} }=- \sqrt[3]{ \frac{ 13^{3} }{ 10^{3} } } = \frac{13}{10} =\boxed{1,3}](https://tex.z-dn.net/?f=a%29++%5Csqrt%7B1%2C69%7D+%3D+%5Csqrt%7B+%5Cfrac%7B169%7D%7B100%7D+%7D%3D+%5Csqrt%7B+%5Cfrac%7B+13%5E%7B2%7D+%7D%7B+10%5E%7B2%7D+%7D+%7D+%3D+%5Cfrac%7B13%7D%7B10%7D+%3D%5Cboxed%7B1%2C3%7D+%5C%5C++%5C%5C+b%29+%5Csqrt%5B3%5D%7B-2%2C197%7D%3D-+%5Csqrt%5B3%5D%7B2%2C197%7D+%3D-+%5Csqrt%5B3%5D%7B+%5Cfrac%7B2197%7D%7B1000%7D+%7D%3D-+%5Csqrt%5B3%5D%7B+%5Cfrac%7B+13%5E%7B3%7D+%7D%7B+10%5E%7B3%7D+%7D+%7D+%3D+%5Cfrac%7B13%7D%7B10%7D+%3D%5Cboxed%7B1%2C3%7D+++ "a) \sqrt{1,69} = \sqrt{ \frac{169}{100} }= \sqrt{ \frac{ 13^{2} }{ 10^{2} } } = \frac{13}{10} =\boxed{1,3} \\ \\ b) \sqrt[3]{-2,197}=- \sqrt[3]{2,197} =- \sqrt[3]{ \frac{2197}{1000} }=- \sqrt[3]{ \frac{ 13^{3} }{ 10^{3} } } = \frac{13}{10} =\boxed{1,3}")
![c) \sqrt[3]{-1, 728}=- \sqrt[3]{1,728}=- \sqrt[3]{ \frac{1728}{1000} } =- \sqrt[3]{ \frac{ 2^{6}* 3^{3} }{ 10^{3} } }=- \frac{ 2^{2}*3 }{10} \\ \\ - \frac{12}{10}=\boxed{-1,2}](https://tex.z-dn.net/?f=c%29+++%5Csqrt%5B3%5D%7B-1%2C+728%7D%3D-+%5Csqrt%5B3%5D%7B1%2C728%7D%3D-+%5Csqrt%5B3%5D%7B+%5Cfrac%7B1728%7D%7B1000%7D+%7D+%3D-+%5Csqrt%5B3%5D%7B+%5Cfrac%7B+2%5E%7B6%7D%2A+3%5E%7B3%7D++%7D%7B+10%5E%7B3%7D+%7D+%7D%3D-+%5Cfrac%7B+2%5E%7B2%7D%2A3+%7D%7B10%7D+%5C%5C++%5C%5C+-+%5Cfrac%7B12%7D%7B10%7D%3D%5Cboxed%7B-1%2C2%7D+ "c) \sqrt[3]{-1, 728}=- \sqrt[3]{1,728}=- \sqrt[3]{ \frac{1728}{1000} } =- \sqrt[3]{ \frac{ 2^{6}* 3^{3} }{ 10^{3} } }=- \frac{ 2^{2}*3 }{10} \\ \\ - \frac{12}{10}=\boxed{-1,2}")
![d) \sqrt[4]{0,1296}= \sqrt[4]{ \frac{1296}{10000} }= \sqrt[4]{ \frac{1296}{10000} } = \frac{6}{10} = \frac{3}{5}](https://tex.z-dn.net/?f=d%29++%5Csqrt%5B4%5D%7B0%2C1296%7D%3D+%5Csqrt%5B4%5D%7B+%5Cfrac%7B1296%7D%7B10000%7D+%7D%3D+%5Csqrt%5B4%5D%7B+%5Cfrac%7B1296%7D%7B10000%7D+%7D+%3D+%5Cfrac%7B6%7D%7B10%7D+%3D+%5Cfrac%7B3%7D%7B5%7D+++ "d) \sqrt[4]{0,1296}= \sqrt[4]{ \frac{1296}{10000} }= \sqrt[4]{ \frac{1296}{10000} } = \frac{6}{10} = \frac{3}{5}")
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