In reply to Dilleesh.k.jose.

Hi, well this is attempting to answer a nearly 3½ year old question. Your question isn't completely clear to me but it looks like you are trying to find the square root of (8943+483) which would be 9426, using the Babylonian Method, also called Hero's method. The closer your first guess, Xo, the less iterations will be necessary.
S=9426. Our first guess is 98. Using the formula (Xn+S/Xn) /2, we have (98+9426/98)/2=97.0918367346939=X1
Following the formula, we now have (X1+9426/X1)/2 since X1=97.0918367346939, our answer, X2=97.0875894130642
Next iteration (X2+9426/X2)/2 =X3
X3 = 97.0875893201598
X2 matches X3 to 6 decimal places, so we know X2 is accurate to six decimal places.
The actual square root of 9426 is the same as X3. You couldn't be certain until you calculated X4 (or checked the true square root with a calculator, Mathematica, etc.) I only went to 13 digits, which is more than sufficient for any real world applications. The square root of 9426 is irrational, so you can perform as many iterations as you like. If you're trying to find the 5,000,000th decimal of the square root of 9426, I would recommend using Mathematica or your preferred computational program. If you don't have Mathematica or Maple, etc., you can enter Mathematica commands into Wolfram Alpha and they will work. For example, if you are using Wolfram Alpha and enter
N[Sqrt9426, 5000000]
You requested the square root of 9426 to 5,000,000 digits.
If you see this so long after asking, I hope it helps and I hope I understood your question correctly.