Question
Find the cube root of the following rational numbers: $ 1.131$

Answer

We have: $1.131=\frac{1331}{1000}$ $\therefore\sqrt[3]{1.331}$ $=\sqrt[]{\frac{1331}{1000}}$ $={\frac{\sqrt[3]{1331}}{\sqrt[3]{1000}}}$ $={\frac{\sqrt[3]{11\times11\times11}}{\sqrt[3]{1000}}}$ $=\frac{11}{10}=1.1$

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