Write a program that applies the Babylonian square root algorithm.

The algorithm is:

guess = input/2

r = input/guess

guess = (guess+r)/2

go to 2 until done

Example output:

Enter a number and I will apply the Babylonian square root algorithm

until I am withing .001 of the correct answer.

151

You entered 151

guessing 38.75

guessing 21.3234

guessing 14.2024

guessing 12.4172

guessing 12.2889

The Babylons algorithm gives 12.2889

Checking: 12.2889 * 12.2889 = 151.016

Press any key to continue . .