The cube root of 2744 is 

The cube root of any perfect cube number can be found by prime factorisation.

Prime factorisation of 2744 is:

Cube root of 2744 = $\sqrt[3]{2744}$

$\Rightarrow \sqrt[3]{2744}=\sqrt[3]{14\times 14\times 14}$

$=14$

The cube root of 2744 is 14.