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# Expert Approach: Simple Square Root Program in Java with Data Validation

Posted on 2012-04-07

I am interested to see how an expert would approach a simple scenario such as this:

4. Write a Java program which finds the square root of a positive double number recursively using the following algorithm:

A) input the number, x

B) if the number entered for x is positive: continue. If the number entered for x is negative or zero in value reject the number, display an error message and return to step A.

C) compute the first estimate of the square root of x by dividing x by 2.

D) compute the next estimate of the square root of x (call the next estimate ne) from the previous estimate of the square root of x (call the previous estimate pe) by using the formula: ne = (pe + x / pe)/2.

E) continue to calculate new values for the estimate of the square root until the absolute value of (ne – pe) < 0.0001.

F) display the original number x and the estimated square root of x.

Thank you.