A     = Number
 k       = Entire sguare root
A_sr = Sguare Root

                        A- k²
A_sr  = k -----------
                      2 x k + 1  

A     = Number

k       = Entire sguare root

 

        10-3²                10-9              1     
A_sr = 3 ---------- =  3 ---------- = 3 --- ;  or,
                     2x3+1                 6+1             7     

       22
    ----- = 3,142857......   
        7