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7.1.2 Ramanujan's infinite radicals. ... In algebra, a nested radical is a radical expression (one containing a square root sign, cube root sign, etc.) that contains ...
Srinivasa Ramanujan Aiyangar [a] (22 December 1887 – 26 April 1920) was an Indian mathematician.Often regarded as one of the greatest mathematicians of all time, though he had almost no formal training in pure mathematics, he made substantial contributions to mathematical analysis, number theory, infinite series, and continued fractions, including solutions to mathematical problems then ...
mathematician: Tirukkannapuram Vijayaraghavan ... Vijayaraghavan proved a special case of Herschfeld's theorem on nested radicals: [3] For > + + + + converges if and ...
An unresolved root, especially one using the radical symbol, is sometimes referred to as a surd [2] or a radical. [3] Any expression containing a radical, whether it is a square root, a cube root, or a higher root, is called a radical expression , and if it contains no transcendental functions or transcendental numbers it is called an algebraic ...
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Viète's formula, as printed in Viète's Variorum de rebus mathematicis responsorum, liber VIII (1593). In mathematics, Viète's formula is the following infinite product of nested radicals representing twice the reciprocal of the mathematical constant π: = + + + It can also be represented as = = +.
2 Infinitely Nested Radicals. 5 comments. 3 Uh? 1 comment. 4 Clarification needed. 1 comment. 5 External links modified (February 2018) 1 comment. 6 An example with ...
A solution in radicals or algebraic solution is an expression of a solution of a polynomial equation that is algebraic, that is, relies only on addition, subtraction, multiplication, division, raising to integer powers, and extraction of n th roots (square roots, cube roots, etc.). A well-known example is the quadratic formula