The Square Root Algorithm
1st:  Recall the columns on the square root
bone are, from left to right, the square of the digit, the double of the digit, and the digit.
The square will be used to:
 identify the next digit of the root,
 decrease the radicand making a new "radicand remainer," and to
 act as a bone in creating multiples as is done in multiplication and division.
The double will be used to:
 identify the first bones used on the board to create multiples, and then to
 modify the set of bones on the board used to make multiples and take the root.
The digit will be used to:
 identify the row of bones and to
 become the next digit of the root.

2nd: 
From the decimal, to the left with whole numbers and also to the right with decimal numbers, group digits of the radicand in pairs. 
3rd: 
Begin with the leftmost pair (or single digit should there be an odd number of whole number digits). 
4th: 
On the square root bone, find the largest square smaller than or equal to this pair. 
5th: 
Write it below the leftmost radicand pair and subtract to produce a "radicand remainder." 
6th: 
On the square root bone, on the same row,
use the DIGIT as first digit of the root. 
7th: 
On the square root bone, on the same row,
use the DOUBLE to place bone(s) for this number on the board.
Once the first root digit is found, if additional digits of the root are required, this process use the following rule.
If the double has one digit,
 make the units digit of the DOUBLE the new last digit of the root.
If the doube has two digits,
 make the units digit of the DOUBLE the new last digit of the root.
 Take the existing number represented by bones on the board,
add to it the tens digit of the DOUBLE and place bones on the board.

8th:  Use both the "radicand remainder," from step 5,
and the next pair to create the next "new radicand." 
9th:  Repeat the procedure until the desired accuracy
is achieved or until the "radicand remainer" is 0. 
