Resolver sqrt[3]{646/125-11}-sqrt{01^-2}+sqrt[3]{8^2}

$$\sqrt[ 3 ] { \frac { 646 } { 125 } - 11 } - \sqrt { 01 ^ { - 2 } } + \sqrt[ 3 ] { 8 ^ { 2 } }$$

Avaliar

$$\frac{11}{5}=2,2$$

Passos Para a Resolução

Subtraia 11 de \frac{646}{125} para obter -\frac{729}{125}.

$$\sqrt[3]{-\frac{729}{125}}-\sqrt{0\times 1^{-2}}+\sqrt[3]{8^{2}}$$

Calcule \sqrt[3]{-\frac{729}{125}} e obtenha -\frac{9}{5}.

$$-\frac{9}{5}-\sqrt{0\times 1^{-2}}+\sqrt[3]{8^{2}}$$

Calcule 1 elevado a -2 e obtenha 1.

$$-\frac{9}{5}-\sqrt{0\times 1}+\sqrt[3]{8^{2}}$$

Multiplique 0 e 1 para obter 0.

$$-\frac{9}{5}-\sqrt{0}+\sqrt[3]{8^{2}}$$

Calcule a raiz quadrada de 0 e obtenha 0.

$$-\frac{9}{5}-0+\sqrt[3]{8^{2}}$$

Multiplique -1 e 0 para obter 0.

$$-\frac{9}{5}+0+\sqrt[3]{8^{2}}$$

Some -\frac{9}{5} e 0 para obter -\frac{9}{5}.

$$-\frac{9}{5}+\sqrt[3]{8^{2}}$$

Calcule 8 elevado a 2 e obtenha 64.

$$-\frac{9}{5}+\sqrt[3]{64}$$

Calcule \sqrt[3]{64} e obtenha 4.

$$-\frac{9}{5}+4$$

Some -\frac{9}{5} e 4 para obter \frac{11}{5}.

$$\frac{11}{5}$$

Fatorizar

$$\frac{11}{5} = 2\frac{1}{5} = 2,2$$