Solve sqrt[3]{0.027}-sqrt[3]{1-124/125}+sqrt[3]{0.001}

$$\sqrt[ 3 ]{ 0.027 } - \sqrt[ 3 ]{ 1- \frac{ 124 }{ 125 } } + \sqrt[ 3 ]{ 0.001 }$$

Evaluate

$$0.2$$

Solution Steps

Calculate \sqrt[3]{0.027} and get \frac{3}{10}.

$$\frac{3}{10}-\sqrt[3]{1-\frac{124}{125}}+\sqrt[3]{0.001}$$

Subtract \frac{124}{125} from 1 to get \frac{1}{125}.

$$\frac{3}{10}-\sqrt[3]{\frac{1}{125}}+\sqrt[3]{0.001}$$

Calculate \sqrt[3]{\frac{1}{125}} and get \frac{1}{5}.

$$\frac{3}{10}-\frac{1}{5}+\sqrt[3]{0.001}$$

Subtract \frac{1}{5} from \frac{3}{10} to get \frac{1}{10}.

$$\frac{1}{10}+\sqrt[3]{0.001}$$

Calculate \sqrt[3]{0.001} and get \frac{1}{10}.

$$\frac{1}{10}+\frac{1}{10}$$

Add \frac{1}{10} and \frac{1}{10} to get \frac{1}{5}.

$$\frac{1}{5}$$

Factor

$$\frac{1}{5} = 0.2$$