||'''Book'''|| Advanced Engineering Mathematics ||
 ||'''Author'''|| Erwin Kreyszig ||
 ||'''Edition'''|| 8th Edition ||

/* code_begins */

{{{
x0=2 #initial value
var('k N') # k is the root and N is the constant
k=3 #finding 3rd root
N=8
h(x)=((k-1)*(x)+N/x**(k-1))/k #by the newton raphson method
h(x0)
for i in range (10):
    xn=h(x0)
    x0=xn
o=float(h(x0))  
print o 
}}}

/* code_ends */

 * '''Solution by''': 
   * Praveen Kumar,Student,IIT Roorkee