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HISTORIAN MATHEMATICAL 25 (1998), 366378 Articles NO. HM982209Square Root Approximations in Old Babylonian Mathematics: YBC 7289 in Context David Fowler* and Eleanor Robson *Mathematics Institute,
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How to fill out square root approximations in:

01
Start by identifying the number for which you want to find the square root approximation.
02
Determine the closest perfect square to that number. For example, if you want to approximate the square root of 17, the closest perfect square is 16 (4^2).
03
Take the square root of the perfect square (in this case, the square root of 16 is 4).
04
Divide the number you want to find the square root approximation for by the square root of the perfect square. Using our example, divide 17 by 4 (17/4 = 4.25).
05
Take the average of the result obtained in step 4 and the square root of the perfect square. In our case, average (4.25 + 4) / 2 = 4.125.
06
Repeat steps 4 and 5 until you achieve the desired level of accuracy.

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Square root approximations is a method of estimating the square root of a number.
There is no official requirement to file square root approximations.
Square root approximations can be filled out by using various mathematical methods such as Newton's method or the Babylonian method.
The purpose of square root approximations is to find an approximate value of the square root of a number.
The input number for which the square root is being estimated and the method used for approximation must be reported on square root approximations.
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