1. Start with an arbitrary positive start value x (the closer to the root, the better).
a) You could start with x=n, but you can easily do better than that.
2) Initialize y = 1.
3) Loop until desired approximation is achieved:
a) Get the next approximation for root using average of x and y
b) Set y = n/x
If I explain it this way does it make it easier to solve the problem DIY Mods?