WASET
	%0 Journal Article
	%A Hsian Ming Goo
	%D 2013
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 74, 2013
	%T A Special Algorithm to Approximate the Square Root of Positive Integer
	%U https://publications.waset.org/pdf/16980
	%V 74
	%X The paper concerns a special approximate algorithm of the square root of the specific positive integer, which is built by the use of the property of positive integer solution of the Pell’s equation, together with using some elementary theorems of matrices, and then takes it to compare with general used the Newton’s method and give a practical numerical example and error analysis; it is unexpected to find its special property: the significant figure of the approximation value of the square root of positive integer will increase one digit by one. It is well useful in some occasions.

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