Now, there are many methods you could use to obtain a numerical approximation of .
If you know calculus, you can use the Newton-Raphson method to find the zeros of the equation .
Alternatively, try the Babylonian method: For ,
When choosing your initial value, 77 makes a good choice: . Good luck!
- Choose an arbitrary positive start value (try to pick one close to the root).
- Let be the average of and , i.e. .
- Repeat steps 2 and 3 until you reach the desired accuracy.