International Journal For Multidisciplinary Research

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Infinite Series for Square- Roots

Author(s) Bablu Chandra Dey
Country India
Abstract I have formulated a general rule for finding infinite series for the square root of positive real integers.
More clearly, I have invented a method to find infinite series for the square root of all square natural numbers plus one . Mathematically,
(n^2 + 1)^1/2 = n + 1/2n+ 1/2n+ 1/2n+ 1/2n+ ……. to infinity where n belongs to N (set of all natural numbers). The derivation of the general infinite series lies in the solution of the general equation
X^2 +nx – 1 = 0.
Field Mathematics
Published In Volume 5, Issue 4, July-August 2023
Published On 2023-07-08
DOI https://doi.org/10.36948/ijfmr.2023.v05i04.4239
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