An Algorithm for Computing the ࢔ ࢎ࢚ Root of Real Numbers using a General Method

Date

2024-4

Type

Article

Journal title

International Journal for Research in Applied Science & Engineering Technology (IJRASET)

Issue

Vol. 0 No. 4

Author(s)

Asmaa A. Altayib1 , Arij A. Awin2 , Ali M. Awin3

Pages

1487 - 1493

Abstract

Abstract: Based on an old article about extracting the ࢔ ࢎ࢚ of real numbers using a general method, we introduce an algorithm for computing such roots, using a different approach, through introducing an operator which we define as the inverse binomial operator .We illustrate the procedure by computing ࢔ ࢎ࢚ roots of some ,randomly, selected real numbers. To show the beauty of using such a new procedure, we compare our calculations with the calculations obtained, for the a certain example, via well-known iteration methods such as the bisection and Newton-Raphson methods; moreover a comparison is made for same purpose using continued fractions method. Finally, a conclusion is given to clarify the advantages of the inverse binomial operator.

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