Find the cube-roots of 2.744

$\sqrt[3]{2.744}\\[1em] = \sqrt[3]{\dfrac{2744}{1000}}\\[1em] = \dfrac{\sqrt[3]{2744}}{\sqrt[3]{1000}}$

Prime factors of 2744:

$\therefore \dfrac{\sqrt[3]{2744}}{\sqrt[3]{1000}} = \dfrac{\sqrt[3]{(2 \times 2\times 2)\times(7\times 7\times 7)}}{\sqrt[3]{10 \times 10\times 10}}\\[1em] = \dfrac{(2 \times 7)}{10}\\[1em] = \dfrac{14}{10}\\[1em] = 1.4$

Hence, $\sqrt[3]{2.744} = 1.4$