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Written in java,
Suppose you want to find the square root of x, guess that the square root is x/2. Test your guess (what's the difference between x and guess*guess). If your guess isn't accurate enough, try again. Your new guess should be 0.5 * (last guess + X / last guess). Keep going until your guess is close enough.
Your class should include a recursive method for calculating the square root using the Babylonian Method.
Sers of your class should be able to specify the number they'd like to take a square root of as well as how much error they will tolerate in the square root estimation. For testing purposes, you should print the output.
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