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

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

Evaluate

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

Solution Steps

Multiply 8 and 45 to get 360.

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

Subtract 3 from 360 to get 357.

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

Calculate \sqrt[3]{125} and get 5.

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

Calculate -2 to the power of 2 and get 4.

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

Multiply 2 and 4 to get 8.

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

Add 5 and 8 to get 13.

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

Factor

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