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Number Theory
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Denesting certain nested radicals of depth two
Denesting certain nested radicals of depth two,M. Honsbeek
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Denesting certain nested radicals of depth two
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M. Honsbeek
Using elementary methods we derive a simple criterion to decide if a nestedradical of the formp3 p +3 p can be denested. We present two methods tocompute such a denesting.1 IntroductionAs for many subjects in
number theory
the history of denesting nested radicals leadsus to Srinivasa Ramanujan (18871920). One of the questions he sent to the Journalof the Indian Mathematical Society was Question 525 [7]:Shew how to nd the square roots of surds of the form3 pA +3 pB ...
Published in 1999.
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(1)
...For other approaches to the simplification of radicals see [
6
], [8 ]a nd [9]...
THOMAS J. O SLER
.
Cardan Polynomials and the Reduction of Radicals
References
(2)
Decreasing the Nesting Depth of Expressions Involving Square Roots
(
Citations: 22
)
Allan Borodin
,
Ronald Fagin
,
John E. Hopcroft
,
Martin Tompa
Journal:
Journal of Symbolic Computation  JSC
, vol. 1, no. 2, pp. 169188, 1985
How to Tangle with a Nested Radical
(
Citations: 10
)
Susan Landau
Published in 1993.
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Citations
(1)
Cardan Polynomials and the Reduction of Radicals
THOMAS J. O SLER