quick methods to obtain cube root of a number

cube root of a number p is given by p^1/3,p^1/3w,p^1/3w².

One of the method you may use is differential approximation

f(x + $x) - f(x) = f^/(x) . $x   --------------------------(1)

for eg

Find cube root of 126

Let x =125   and  $x = 1

Let   f(x) = x^1/3

=>   f^/(x) = 1/3 x^-2/3

From (1)

f (126) - f(125) = 1/3 (125^-2/3) . 1

=> 126^1/3 - 125^1/3 = 1/3 . 1/25

=> 126^1/3 = 5 + 1/75 = 5.0133

You can check its truth by calculator

Note - You can use this method to find even hihger order roots or even values of tan 46 etc.

Thanks