Question

Find the cube root of the following rational number  1.331 .

Answer 1

We have: 

\[1 . 331 = \frac{1331}{1000}\]

∴ \[\sqrt[3]{1 . 331} = \sqrt[3]{\frac{1331}{1000}} = \frac{\sqrt[3]{1331}}{\sqrt[3]{1000}} = \frac{\sqrt[3]{11 \times 11 \times 11}}{\sqrt[3]{1000}}$$ = \frac{11}{10} = 1 . 1\]