(adsbygoogle = window.adsbygoogle || []).push({}); Well I think we take squaring and square rooting for advantage. I was watching green lantern today and I thought of an amazing equation to generate squaring... now idk how I thought of it but it was faster than doing X * X = Y; lol but anyway... I continued to make a program and made an example how to generate square root in a program using the babylon method

My Square Root Method:

    

        public static double square(double x)

        {

            return (x * (x / 2)) * 2;

        }

Now to use in a program just take an input out of a text box and use it with this to output

ie:

    

        private void sqrButton_Click(object sender, EventArgs e)

        {

            Double input = 0;

            try { input = Convert.ToDouble(inputBox.Text); }

            catch {}

            outputBox.Text = square(input).ToString();

        }

---

Now this is using the babylonian method of generating a square root and in my opinion it's more accurate than calculators today..

Square Root:

    

        public static double squareRoot(double x, int numberOfCycles)

        {

            double y = numberOfCycles * square(10);

            for (int i = 0; i < numberOfCycles; i++)

            {

                y = .5 * (y + (x / y));

            }

            return y;

        }

Now how this works is that it runs it through this algorithmn a number of times getting closer and closer to the square root, the higher the number of cycles the more accurate the number will be.

(Note: You might want to use decimal instead of double because decimal (in programming) go to 28 to 29 spots past the decimal as double only does 8 (I think) but decimal uses 4 bits more of ram than double does :p)

Now here is how you would use it in a program:

    

        private void sqrRootButton_Click(object sender, EventArgs e)

        {

            double input = 0;

            try { input = Convert.ToDouble(inputBox.Text); }

            catch {}

            outputBox.Text = squareRoot(input, 9999).ToString();

        }

---

Now I hope you learned how basic squaring, and square rooting work other than just using a calculator or the math.sqrroot class in C# :p I learned something myself and I thought it was cool I came up with my own equation. =D Thanks for reading!