Resolver 8(45)-3/sqrt[3]{125+2(-2)^2}

$$\frac { 8 ( 45 ) - 3 } { \sqrt[ 3 ] { 125 } + 2 ( - 2 ) ^ { 2 } }$$

Calcular

$$\frac{357}{13}\approx 27.461538462$$

Pasos da solución

Multiplica 8 e 45 para obter 360.

$$\frac{360-3}{\sqrt[3]{125}+2\left(-2\right)^{2}}$$

Resta 3 de 360 para obter 357.

$$\frac{357}{\sqrt[3]{125}+2\left(-2\right)^{2}}$$

Calcular \sqrt[3]{125} e obter 5.

$$\frac{357}{5+2\left(-2\right)^{2}}$$

Calcula -2 á potencia de 2 e obtén 4.

$$\frac{357}{5+2\times 4}$$

Multiplica 2 e 4 para obter 8.

$$\frac{357}{5+8}$$

Suma 5 e 8 para obter 13.

$$\frac{357}{13}$$

Factorizar

$$\frac{3 \cdot 7 \cdot 17}{13} = 27\frac{6}{13} = 27.46153846153846$$