Sure,

Let's try two examples:
x=1,038,381,081

The last digit is 1, so continue
Now start with y=10,000 because that is half as many digits as x.
y0 = 10,000
y1 = 56919
y2 = 37581
y3 = 32605
y4 = 32226
y5 = 32226
y6 = 32223
y7 = 32223

Y6=Y7 so you are done. Now square y7 giving 1,038,321,729. That is not
equal to x, so x is not a perfect square.


Second case
x=1,038,579,529
Last digit is 9, so continue.
y1 = 10000
y2 = 56928
y3 = 37585
y4 = 32608
y5 = 32229
y6 = 32227
y7 = 32227

32227^2 = x, so x is a perfect square.

Don


On Jan 5, 8:08 am, bala bharath <bagop...@gmail.com> wrote:
>  @Don,
>                Can u explain with an Example...?
>
> With regards,
>
>  Balasubramanian Naagarajan,
>
>                                                              Chettinad
> College of Engg & Tech.
>
>
>
>
>
>
>
> On Sat, Jan 5, 2013 at 1:48 PM, Malathi <malu....@gmail.com> wrote:
> > Check this. It might help.
>
> >http://www.johndcook.com/blog/2008/11/17/fast-way-to-test-whether-a-n...
>
> > On Sat, Jan 5, 2013 at 1:47 AM, Don <dondod...@gmail.com> wrote:
>
> >> start with a guess y. If you can arrange for y to be about half the
>
> > --
>
> > With Regards,
> >    Malathi
>
> > --

-- 


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