Find the cube-roots of 9.261

$\sqrt[3]{9.261}\\[1em] = \sqrt[3]{\dfrac{9261}{1000}}\\[1em] = \dfrac{\sqrt[3]{9261}}{\sqrt[3]{1000}}$

Prime factors of 9261:

$\therefore \dfrac{\sqrt[3]{9261}}{\sqrt[3]{1000}} = \dfrac{\sqrt[3]{(3 \times 3\times 3)\times(7\times 7\times 7)}}{\sqrt[3]{10 \times 10\times 10}}\\[1em] = \dfrac{(3 \times 7)}{10}\\[1em] = \dfrac{21}{10}\\[1em] = 2.1$

Hence, $\sqrt[3]{9.261} = 2.1$