Are you asking "How do you get the decimal approximation for the square root of a prime integer?"
Because you can't evaluate the square root of a prime integer exactly...
Babylonian
Years ago I was taught how to calculate the exact square root of any number manually(no calculator).Now I just dont remember anything.
By the same analogy,how do you find the square root of a prime integer?
Thank you guys.
Tbone
Are you asking "How do you get the decimal approximation for the square root of a prime integer?"
Because you can't evaluate the square root of a prime integer exactly...
Babylonian
Nor can you evaluate the square root of any integer which is not the square of another integer.
It has been proved that if cannot be written with , then is irrationnal (cannot be finitely written using decimals)
Little bonus : since is prime, it cannot be written with (that would mean that p is composite and not prime), thus is irrationnal.
Now you can approximate : take , for example.
You know that , thus
So
Rince, reiterate (with closer bounds), and after some time you will get a pretty good approximation.
I think this may be what you have in mind.
Math Forum - Ask Dr. Math
It's how I was taught to do it, back in the Dark Ages (pre-calculator).
That's exactly what I am looking for, Dr.Awkward.
"Dark Ages" I like that.I was at that critical period before;somehow thru the years I just could not recall that technique a 100%.I was just trying to show my kid in math that this could be done.Thanks again Dr.
I am a very new newbie with this forum.I read and gone through a lot of threads until I found this thread regarding this square root thing;not exactly what I was looking for and thats why my question was posted, with the same thread,for some help.There was no intention to break the rules for not starting a new thread and got a warning for it.I will remember now!
Above all,all you guys are great!I really appreciate the prompt response either way and thank you, Dr.Awkward.
Merry Christmas to you all
Tbone