Resposta
2
Moderador: [ Moderadores TTB ]
Ittalo25 escreveu: ↑Seg 03 Mai, 2021 14:21[tex3]\sqrt[3]{3\alpha ^2-4\alpha }=[/tex3]
[tex3]\sqrt[3]{3\alpha ^2 -3\alpha -\alpha }=[/tex3]
[tex3]\sqrt[3]{3\alpha ^2 -3\alpha-\alpha^3+1 }=[/tex3]
[tex3]\sqrt[3]{-(\alpha-1)^3 }=[/tex3]
[tex3]-\alpha + 1[/tex3]
[tex3]\alpha \sqrt[4]{2\alpha ^2+3\alpha +2}=[/tex3]
[tex3]\alpha \sqrt[4]{\alpha ^2+\alpha ^2+3\alpha +2}=[/tex3]
[tex3]\alpha \sqrt[4]{\alpha ^4-\alpha+\alpha ^2+3\alpha +2}=[/tex3] ---> poderia me explicar como o alfa elevado a 2 se tornou alfa elevado a 4 menos alfa?
[tex3]\alpha \sqrt[4]{\alpha ^4+\alpha ^2+2(\alpha +1)}=[/tex3]
[tex3]\alpha \sqrt[4]{\alpha ^4+2\alpha ^3 + \alpha ^2}=[/tex3]
[tex3]\alpha \sqrt[4]{\alpha ^2 \cdot (\alpha+1)^2}=[/tex3]
[tex3]\alpha \sqrt[4]{\alpha ^2 \cdot (\alpha ^3)^2}=[/tex3]
[tex3]\alpha \sqrt[4]{\alpha ^8}=[/tex3]
[tex3]\alpha ^3= \alpha + 1[/tex3]
Então:
[tex3]\sqrt[3]{3\alpha ^2-4\alpha }+\alpha \sqrt[4]{2\alpha ^2+3\alpha +2}=-\alpha + 1+ \alpha + 1= \boxed{2}[/tex3]