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Write a program that applies the Babylonian square root algorithm. (c++) The algorithm is: 1) guess = input/2 2) r = input/guess 3) guess =

Write a program that applies the Babylonian square root algorithm. (c++) The algorithm is: 1) guess = input/2 2) r = input/guess 3) guess = (guess+r)/2 4) 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 . . .

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