ID:187401
 
How do you(or calculators) work out the square root of any given number?

What's the actual method of working out square roots? Not including trial and error, calcualtors or memory.
[number]^.5
In response to Airjoe
Wow, that is so cool. I never knew you could do it that way.

But if the number is negative, it just makes the answer negative, so a check would work with it.

~~> Dragon Lord
In response to Airjoe
Thanks a lot.

I was wondering how you'd write that in equation form though, I mean you'd write squared like this:

Number * Number = Number^2
2 * 2 = 2^2

But what about roots?

Blank Blank Blanks = Blank^0.5

Fill in the blanks for me! =P
In response to DeathAwaitsU
DeathAwaitsU wrote:
Thanks a lot.

I was wondering how you'd write that in equation form though

It's a painful process. Google will give you plenty of results. This one looked fairly straight forward: http://www.mathpages.com/home/kmath146.htm
In response to Unknown Person
Unknown Person wrote:
But if the number is negative, it just makes the answer negative, so a check would work with it.

Imaginary numbers...
you could use newtons method. its much easier to do that on computer than to do it by hand, but its still possible to do by hand. you can use it to find the root of any polynomial equation, so you could use the same method for cube roots as well as square roots.
In response to DeathAwaitsU
Maybe...

Number / (Number^.5) = Number^.5

But I don't think that'll help you much :-P