Solve sqrt[3]{0.027}-sqrt[3]{1-124/123}+sqrt[3]{0.001}

$$\sqrt[ 3 ]{ 0.027 } - \sqrt[ 3 ]{ 1- \frac{ 124 }{ 123 } } + \sqrt[ 3 ]{ 0.001 }$$

Evaluate

$$\frac{123^{\frac{2}{3}}}{123}+0.4\approx 0.601078188$$

Solution Steps

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

$$\frac{3}{10}-\sqrt[3]{1-\frac{124}{123}}+\sqrt[3]{0.001}$$

Subtract \frac{124}{123} from 1 to get -\frac{1}{123}.

$$\frac{3}{10}-\sqrt[3]{-\frac{1}{123}}+\sqrt[3]{0.001}$$

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

$$\frac{3}{10}-\sqrt[3]{-\frac{1}{123}}+\frac{1}{10}$$

Add \frac{3}{10} and \frac{1}{10} to get \frac{2}{5}.

$$\frac{2}{5}-\sqrt[3]{-\frac{1}{123}}$$