![\sqrt[3]{54 \: - \: 30 \sqrt{3} } \: + \: \sqrt[3]{170 \: - \: 117 \sqrt{3 \:} } =](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B54+%5C%3A++-++%5C%3A+30+%5Csqrt%7B3%7D+%7D++%5C%3A++%2B++%5C%3A++%5Csqrt%5B3%5D%7B170+%5C%3A++-++%5C%3A+117+%5Csqrt%7B3+%5C%3A%7D++%7D++%3D+ "\sqrt[3]{54 \: - \: 30 \sqrt{3} } \: + \: \sqrt[3]{170 \: - \: 117 \sqrt{3 \:} } =")
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![= > \: \sqrt[ 3]{54 - 30 \sqrt{3} } + \sqrt[3]{170 - 177 \sqrt{3} } \\ \\ \\ \\ = > \: \ \sqrt[3] {27 + 27 - 27 \sqrt{3} - 3 \sqrt{3} } + \sqrt[3]{170 - 177 \sqrt{3} } \\ \\ = > \: \sqrt[3]{27 - 27 \sqrt{3} + 27 - 3 \sqrt{3} } + \sqrt[3]{170 - 177 \sqrt{3} } \\ \\ = > \: using \: {a}^{3} - 3 {a}^{2} b + 3a {b}^{2} - {b}^{3} = (a - b) {}^{3} \: factorise \\ \\ = > \: \sqrt[3]{(3 - \sqrt{3}) {}^{3} } + \sqrt[3]{170 - 177 \sqrt{3} } \\ \\ = > \: 3 - \sqrt{3} + \sqrt[3]{170 - 177 \sqrt{3} } \\ \\ = > \: - 3.88183](https://tex.z-dn.net/?f=+%3D++%26gt%3B++%5C%3A+++%5Csqrt%5B+3%5D%7B54+-+30+%5Csqrt%7B3%7D+%7D++%2B++%5Csqrt%5B3%5D%7B170+-+177+%5Csqrt%7B3%7D+%7D++%5C%5C++%5C%5C++%5C%5C++%5C%5C++%3D++%26gt%3B++%5C%3A+++%5C+%5Csqrt%5B3%5D+%7B27+%2B+27+-+27+%5Csqrt%7B3%7D+-+3+%5Csqrt%7B3%7D++%7D++%2B++%5Csqrt%5B3%5D%7B170+-+177+%5Csqrt%7B3%7D+%7D++%5C%5C++%5C%5C++%3D++%26gt%3B++%5C%3A++%5Csqrt%5B3%5D%7B27+-+27+%5Csqrt%7B3%7D+%2B+27+-+3+%5Csqrt%7B3%7D++%7D++%2B++%5Csqrt%5B3%5D%7B170+-+177+%5Csqrt%7B3%7D+%7D++%5C%5C++%5C%5C++%3D++%26gt%3B++%5C%3A+using+%5C%3A++%7Ba%7D%5E%7B3%7D++-+3+%7Ba%7D%5E%7B2%7D+b+%2B+3a+%7Bb%7D%5E%7B2%7D++-++%7Bb%7D%5E%7B3%7D++%3D+%28a+-+b%29+%7B%7D%5E%7B3%7D++%5C%3A+factorise+%5C%5C++%5C%5C++%3D++%26gt%3B++%5C%3A++%5Csqrt%5B3%5D%7B%283+-++%5Csqrt%7B3%7D%29+%7B%7D%5E%7B3%7D++%7D++%2B++%5Csqrt%5B3%5D%7B170+-+177+%5Csqrt%7B3%7D+%7D++%5C%5C++%5C%5C++%3D++%26gt%3B++%5C%3A+3+-++%5Csqrt%7B3%7D++%2B++%5Csqrt%5B3%5D%7B170+-+177+%5Csqrt%7B3%7D+%7D++%5C%5C++%5C%5C++%3D++%26gt%3B++%5C%3A++-+3.88183 "= > \: \sqrt[ 3]{54 - 30 \sqrt{3} } + \sqrt[3]{170 - 177 \sqrt{3} } \\ \\ \\ \\ = > \: \ \sqrt[3] {27 + 27 - 27 \sqrt{3} - 3 \sqrt{3} } + \sqrt[3]{170 - 177 \sqrt{3} } \\ \\ = > \: \sqrt[3]{27 - 27 \sqrt{3} + 27 - 3 \sqrt{3} } + \sqrt[3]{170 - 177 \sqrt{3} } \\ \\ = > \: using \: {a}^{3} - 3 {a}^{2} b + 3a {b}^{2} - {b}^{3} = (a - b) {}^{3} \: factorise \\ \\ = > \: \sqrt[3]{(3 - \sqrt{3}) {}^{3} } + \sqrt[3]{170 - 177 \sqrt{3} } \\ \\ = > \: 3 - \sqrt{3} + \sqrt[3]{170 - 177 \sqrt{3} } \\ \\ = > \: - 3.88183")
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what kinda help??
we should not talk here
please explain me something about chapter universe
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so where should we talk
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