Stage One:
1. Determine the largest squared whole number less than Y.
2. Use the square root of the largest squared whole number to be the first part of the answer. Place this number to the left of the decimal place within the answer.
3. Find the difference of Y and the squared whole number.
Stage Two:
1. Multiple the difference by 100, designated as A.
2. Multiple the answer so far by 2 (without the decimal point), designated as B.
3. Multiple B by 10.
4. Give C one of the following values: 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9
5. Find D where (B+C)*C equals the greatest value less than A.
6. C becomes the next digit right of the decimal in the answer.
7. Find the difference between of A and D.
8. Repeat Stage Two until the answer reaches the desired number of digits after the decimal.
Example:
PDF File: Example to find the square root of 3
(Sorry, I had to make it a PDF file because html isn't good at showing math equations and I didn't want to scan in my chicken scratch writing. Free Acrobat Reader is a must, but if you don't already have it, go here to get it: http://www.adobe.com/products/acrobat/readstep2.html)
Now, is anyone ever going to use this? Hey, if anyone has seen this method in print, please let me know.