Solve sqrt[3]{0027}-sqrt[3]{1-124/123}+sqrt[3]{0001}

$$\sqrt[ 3 ]{ 0027 } - \sqrt[ 3 ]{ 1- \frac{ 124 }{ 123 } } + \sqrt[ 3 ]{ 0001 }$$

Evaluate

$$\frac{123^{\frac{2}{3}}}{123}\approx 0.201078188$$

Solution Steps

Multiply 0 and 0 to get 0.

$$\sqrt[3]{0\times 27}-\sqrt[3]{1-\frac{124}{123}}+\sqrt[3]{0\times 0\times 0\times 1}$$

Multiply 0 and 27 to get 0.

$$\sqrt[3]{0}-\sqrt[3]{1-\frac{124}{123}}+\sqrt[3]{0\times 0\times 0\times 1}$$

Calculate \sqrt[3]{0} and get 0.

$$0-\sqrt[3]{1-\frac{124}{123}}+\sqrt[3]{0\times 0\times 0\times 1}$$

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

$$0-\sqrt[3]{-\frac{1}{123}}+\sqrt[3]{0\times 0\times 0\times 1}$$

Multiply 0 and 0 to get 0.

$$0-\sqrt[3]{-\frac{1}{123}}+\sqrt[3]{0\times 0\times 1}$$

Multiply 0 and 0 to get 0.

$$0-\sqrt[3]{-\frac{1}{123}}+\sqrt[3]{0\times 1}$$

Multiply 0 and 1 to get 0.

$$0-\sqrt[3]{-\frac{1}{123}}+\sqrt[3]{0}$$

Calculate \sqrt[3]{0} and get 0.

$$0-\sqrt[3]{-\frac{1}{123}}+0$$

Anything plus zero gives itself.

$$0-\sqrt[3]{-\frac{1}{123}}$$