Question

qual a resposta certa?​

Answer 1

$\frac{ {64}^{0,666...} + {36}^{0,5} }{ \sqrt{8} } = \\ \frac{ {64}^{ \frac{6}{9} } + {36}^{0,5} }{ {8}^{ \frac{1}{2} } } = \\ \frac{ {64}^{ \frac{2}{3} } + {36}^{ \frac{1}{2} } }{ {8}^{ \frac{1}{2} } } = \\ \frac{ \sqrt[3]{ {64}^{2} } + \sqrt{36} }{ {8}^{ \frac{1}{2} } } = \\ \frac{ \sqrt[3]{64.64} + 6}{ {8}^{ \frac{1}{2} } } = \\ \frac{ \sqrt[3]{64}. \sqrt[3]{64} + 6}{ {8}^{ \frac{1}{2} } } = \\ \frac{4.4 + 6}{ {8}^{ \frac{1}{2} } } = \\ \frac{16 + 6}{ \sqrt{8} } = \\ \frac{22}{ \sqrt{8} } = \\ \frac{22 \sqrt{8} }{8} = \\ \frac{11 \sqrt{8} }{4} = \\ \frac{11 \sqrt{ {2}^{2}.2} }{4} = \\ \frac{22 \sqrt{2} }{4} = \\ \frac{11 \sqrt{2} }{2}$