Solve 8(4.5)-3/sqrt[3]{125+2(-2)^2}

$$\frac { 8 ( 4.5 ) - 3 } { \sqrt[ 3 ] { 125 } + 2 ( - 2 ) ^ { 2 } }$$

Evaluate

$$\frac{33}{13}\approx 2.538461538$$

Solution Steps

Multiply 8 and 4.5 to get 36.

$$\frac{36-3}{\sqrt[3]{125}+2\left(-2\right)^{2}}$$

Subtract 3 from 36 to get 33.

$$\frac{33}{\sqrt[3]{125}+2\left(-2\right)^{2}}$$

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

$$\frac{33}{5+2\left(-2\right)^{2}}$$

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

$$\frac{33}{5+2\times 4}$$

Multiply 2 and 4 to get 8.

$$\frac{33}{5+8}$$

Add 5 and 8 to get 13.

$$\frac{33}{13}$$

Factor

$$\frac{3 \cdot 11}{13} = 2\frac{7}{13} = 2.5384615384615383$$