ME AJUDEM PLMDS, E = 4.³√40-2.³√625+6.³√135
TesrX:
esse 40-2... O 2 tá dentro ou fora da raíz?
Fora
ok.
Soluções para a tarefa
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Olá.
![\mathsf{4\cdot\sqrt[3]{40}-2\cdot\sqrt[3]{625}+6\cdot\sqrt[3]{135}=}\\\\
\mathsf{4\cdot\sqrt[3]{2^3\cdot5}-2\cdot\sqrt[3]{5^3\cdot5}+6\cdot\sqrt[3]{3^3\cdot5}=}\\\\\mathsf{4\cdot2\sqrt5-2\cdot5\sqrt5+6\cdot3\sqrt5=}\\\\\mathsf{8\sqrt5-10\sqrt5+18\sqrt5=}
\\\\\mathsf{-2\sqrt5+18\sqrt5=}\\\\\boxed{\mathsf{16\sqrt5}}](https://tex.z-dn.net/?f=%5Cmathsf%7B4%5Ccdot%5Csqrt%5B3%5D%7B40%7D-2%5Ccdot%5Csqrt%5B3%5D%7B625%7D%2B6%5Ccdot%5Csqrt%5B3%5D%7B135%7D%3D%7D%5C%5C%5C%5C%0A%5Cmathsf%7B4%5Ccdot%5Csqrt%5B3%5D%7B2%5E3%5Ccdot5%7D-2%5Ccdot%5Csqrt%5B3%5D%7B5%5E3%5Ccdot5%7D%2B6%5Ccdot%5Csqrt%5B3%5D%7B3%5E3%5Ccdot5%7D%3D%7D%5C%5C%5C%5C%5Cmathsf%7B4%5Ccdot2%5Csqrt5-2%5Ccdot5%5Csqrt5%2B6%5Ccdot3%5Csqrt5%3D%7D%5C%5C%5C%5C%5Cmathsf%7B8%5Csqrt5-10%5Csqrt5%2B18%5Csqrt5%3D%7D%0A%5C%5C%5C%5C%5Cmathsf%7B-2%5Csqrt5%2B18%5Csqrt5%3D%7D%5C%5C%5C%5C%5Cboxed%7B%5Cmathsf%7B16%5Csqrt5%7D%7D "\mathsf{4\cdot\sqrt[3]{40}-2\cdot\sqrt[3]{625}+6\cdot\sqrt[3]{135}=}\\\\
\mathsf{4\cdot\sqrt[3]{2^3\cdot5}-2\cdot\sqrt[3]{5^3\cdot5}+6\cdot\sqrt[3]{3^3\cdot5}=}\\\\\mathsf{4\cdot2\sqrt5-2\cdot5\sqrt5+6\cdot3\sqrt5=}\\\\\mathsf{8\sqrt5-10\sqrt5+18\sqrt5=}
\\\\\mathsf{-2\sqrt5+18\sqrt5=}\\\\\boxed{\mathsf{16\sqrt5}}")
Qualquer dúvida, deixe nos comentários.
Bons estudos.
Qualquer dúvida, deixe nos comentários.
Bons estudos.
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