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

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

Evaluer

$$\frac{123^{\frac{2}{3}}}{123}\approx 0,201078188$$

Løsningsvejledning

Multiplicer 0 og 0 for at få 0.

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

Multiplicer 0 og 27 for at få 0.

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

Beregn \sqrt[3]{0}, og find 0.

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

Subtraher \frac{124}{123} fra 1 for at få -\frac{1}{123}.

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

Multiplicer 0 og 0 for at få 0.

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

Multiplicer 0 og 0 for at få 0.

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

Multiplicer 0 og 1 for at få 0.

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

Beregn \sqrt[3]{0}, og find 0.

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

Ethvert tal plus nul giver tallet selv.

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