{[(7,444...) elevado ao quadrado +1,666]×(0,999÷3,6222)}
Anexos:
TesrX:
Se ninguém responder até 00:00, respondo. :)
obgd
Tô na faculdade, é difícil de digitar. :x
tudo bem!
como é a resposta final?!
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Olá.
![\mathsf{\{[(7,\overline{444}...)^2+1,\overline{666}]\cdot(0,\overline{999}/3,6\overline{222})\}}=\\\\\mathsf{\left\{\left[\left(7+0,\overline{444}\right)^2+\left(1+0,\overline{666}\right)\right]\cdot\left(\dfrac{9}{9}/\left(3+0,6\oveline{222}\right)\right)\right\}}=\\\\\\\mathsf{\left\{\left[\left(7+\dfrac{4}{9}\right)^2+\left(1+\dfrac{6}{9}\right)\right]\cdot\left(\dfrac{9}{9}/\left(3+\dfrac{62-6}{90}\right)\right)\right\}}=](https://tex.z-dn.net/?f=%5Cmathsf%7B%5C%7B%5B%287%2C%5Coverline%7B444%7D...%29%5E2%2B1%2C%5Coverline%7B666%7D%5D%5Ccdot%280%2C%5Coverline%7B999%7D%2F3%2C6%5Coverline%7B222%7D%29%5C%7D%7D%3D%5C%5C%5C%5C%5Cmathsf%7B%5Cleft%5C%7B%5Cleft%5B%5Cleft%287%2B0%2C%5Coverline%7B444%7D%5Cright%29%5E2%2B%5Cleft%281%2B0%2C%5Coverline%7B666%7D%5Cright%29%5Cright%5D%5Ccdot%5Cleft%28%5Cdfrac%7B9%7D%7B9%7D%2F%5Cleft%283%2B0%2C6%5Coveline%7B222%7D%5Cright%29%5Cright%29%5Cright%5C%7D%7D%3D%5C%5C%5C%5C%5C%5C%5Cmathsf%7B%5Cleft%5C%7B%5Cleft%5B%5Cleft%287%2B%5Cdfrac%7B4%7D%7B9%7D%5Cright%29%5E2%2B%5Cleft%281%2B%5Cdfrac%7B6%7D%7B9%7D%5Cright%29%5Cright%5D%5Ccdot%5Cleft%28%5Cdfrac%7B9%7D%7B9%7D%2F%5Cleft%283%2B%5Cdfrac%7B62-6%7D%7B90%7D%5Cright%29%5Cright%29%5Cright%5C%7D%7D%3D "\mathsf{\{[(7,\overline{444}...)^2+1,\overline{666}]\cdot(0,\overline{999}/3,6\overline{222})\}}=\\\\\mathsf{\left\{\left[\left(7+0,\overline{444}\right)^2+\left(1+0,\overline{666}\right)\right]\cdot\left(\dfrac{9}{9}/\left(3+0,6\oveline{222}\right)\right)\right\}}=\\\\\\\mathsf{\left\{\left[\left(7+\dfrac{4}{9}\right)^2+\left(1+\dfrac{6}{9}\right)\right]\cdot\left(\dfrac{9}{9}/\left(3+\dfrac{62-6}{90}\right)\right)\right\}}=")
![\mathsf{\left\{\left[\left(\dfrac{7\cdot9+4}{9}\right)^2+\left(\dfrac{1\cdot9+6}{9}\right)\right]\cdot\left(\dfrac{9}{9}/\left(3+\dfrac{58}{90}\right)\right)\right\}}=\\\\\\\mathsf{\left\{\left[\left(\dfrac{63+4}{9}\right)^2+\left(\dfrac{9+6}{9}\right)\right]\cdot\left(\dfrac{9}{9}/\left(\dfrac{3\cdot90+58}{90}\right)\right)\right\}}=\\\\\\\mathsf{\left\{\left[\left(\dfrac{67}{9}\right)^2+\left(\dfrac{15}{9}\right)\right]\cdot\left(\dfrac{9}{9}/\dfrac{270}{90}\right)\right\}}=](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Cleft%5C%7B%5Cleft%5B%5Cleft%28%5Cdfrac%7B7%5Ccdot9%2B4%7D%7B9%7D%5Cright%29%5E2%2B%5Cleft%28%5Cdfrac%7B1%5Ccdot9%2B6%7D%7B9%7D%5Cright%29%5Cright%5D%5Ccdot%5Cleft%28%5Cdfrac%7B9%7D%7B9%7D%2F%5Cleft%283%2B%5Cdfrac%7B58%7D%7B90%7D%5Cright%29%5Cright%29%5Cright%5C%7D%7D%3D%5C%5C%5C%5C%5C%5C%5Cmathsf%7B%5Cleft%5C%7B%5Cleft%5B%5Cleft%28%5Cdfrac%7B63%2B4%7D%7B9%7D%5Cright%29%5E2%2B%5Cleft%28%5Cdfrac%7B9%2B6%7D%7B9%7D%5Cright%29%5Cright%5D%5Ccdot%5Cleft%28%5Cdfrac%7B9%7D%7B9%7D%2F%5Cleft%28%5Cdfrac%7B3%5Ccdot90%2B58%7D%7B90%7D%5Cright%29%5Cright%29%5Cright%5C%7D%7D%3D%5C%5C%5C%5C%5C%5C%5Cmathsf%7B%5Cleft%5C%7B%5Cleft%5B%5Cleft%28%5Cdfrac%7B67%7D%7B9%7D%5Cright%29%5E2%2B%5Cleft%28%5Cdfrac%7B15%7D%7B9%7D%5Cright%29%5Cright%5D%5Ccdot%5Cleft%28%5Cdfrac%7B9%7D%7B9%7D%2F%5Cdfrac%7B270%7D%7B90%7D%5Cright%29%5Cright%5C%7D%7D%3D "\mathsf{\left\{\left[\left(\dfrac{7\cdot9+4}{9}\right)^2+\left(\dfrac{1\cdot9+6}{9}\right)\right]\cdot\left(\dfrac{9}{9}/\left(3+\dfrac{58}{90}\right)\right)\right\}}=\\\\\\\mathsf{\left\{\left[\left(\dfrac{63+4}{9}\right)^2+\left(\dfrac{9+6}{9}\right)\right]\cdot\left(\dfrac{9}{9}/\left(\dfrac{3\cdot90+58}{90}\right)\right)\right\}}=\\\\\\\mathsf{\left\{\left[\left(\dfrac{67}{9}\right)^2+\left(\dfrac{15}{9}\right)\right]\cdot\left(\dfrac{9}{9}/\dfrac{270}{90}\right)\right\}}=")
![\mathsf{\left\{\left[\dfrac{4.489}{81}+\dfrac{15}{9}\right]\cdot\left(\dfrac{9}{9}\cdot\dfrac{90}{270}\right)\right\}}=\\\\\\\mathsf{\left\{\left[\dfrac{4.489+15\cdot9}{81}\right]\cdot\left(\dfrac{810}{2.430}\right)\right\}}=\\\\\\\mathsf{\left\{\left[\dfrac{4.489+135}{81}\right]\cdot\left(\dfrac{810}{2.430}\right)\right\}}=\\\\\\\mathsf{\left\{\left[\dfrac{4.624}{81}\right]\cdot\left(\dfrac{810}{2.430}\right)\right\}}=](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Cleft%5C%7B%5Cleft%5B%5Cdfrac%7B4.489%7D%7B81%7D%2B%5Cdfrac%7B15%7D%7B9%7D%5Cright%5D%5Ccdot%5Cleft%28%5Cdfrac%7B9%7D%7B9%7D%5Ccdot%5Cdfrac%7B90%7D%7B270%7D%5Cright%29%5Cright%5C%7D%7D%3D%5C%5C%5C%5C%5C%5C%5Cmathsf%7B%5Cleft%5C%7B%5Cleft%5B%5Cdfrac%7B4.489%2B15%5Ccdot9%7D%7B81%7D%5Cright%5D%5Ccdot%5Cleft%28%5Cdfrac%7B810%7D%7B2.430%7D%5Cright%29%5Cright%5C%7D%7D%3D%5C%5C%5C%5C%5C%5C%5Cmathsf%7B%5Cleft%5C%7B%5Cleft%5B%5Cdfrac%7B4.489%2B135%7D%7B81%7D%5Cright%5D%5Ccdot%5Cleft%28%5Cdfrac%7B810%7D%7B2.430%7D%5Cright%29%5Cright%5C%7D%7D%3D%5C%5C%5C%5C%5C%5C%5Cmathsf%7B%5Cleft%5C%7B%5Cleft%5B%5Cdfrac%7B4.624%7D%7B81%7D%5Cright%5D%5Ccdot%5Cleft%28%5Cdfrac%7B810%7D%7B2.430%7D%5Cright%29%5Cright%5C%7D%7D%3D "\mathsf{\left\{\left[\dfrac{4.489}{81}+\dfrac{15}{9}\right]\cdot\left(\dfrac{9}{9}\cdot\dfrac{90}{270}\right)\right\}}=\\\\\\\mathsf{\left\{\left[\dfrac{4.489+15\cdot9}{81}\right]\cdot\left(\dfrac{810}{2.430}\right)\right\}}=\\\\\\\mathsf{\left\{\left[\dfrac{4.489+135}{81}\right]\cdot\left(\dfrac{810}{2.430}\right)\right\}}=\\\\\\\mathsf{\left\{\left[\dfrac{4.624}{81}\right]\cdot\left(\dfrac{810}{2.430}\right)\right\}}=")
Qualquer dúvida, deixe nos comentários.
Bons estudos.
Qualquer dúvida, deixe nos comentários.
Bons estudos.
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