Uploaded June 2017 | Updated September 2026, 1 week ago
demonstrations.wolfram.com/ExtendingTheRationalsWithTheSquareRootOfFive
The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.
This Demonstration shows examples of arithmetic operations in the extended field ?(SqrtBox[5]), that is, in the field of numbers a+bSqrtBox[5], where a and b are rational numbers.
Contributed by: Izidor Hafner
Audio created with WolframTones:
tones.wolfram.com
demonstrations.wolfram.com/ExtendingTheRationalsWithTheSquareRootOfFive
The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.
This Demonstration shows examples of arithmetic operations in the extended field ?(SqrtBox[5]), that is, in the field of numbers a+bSqrtBox[5], where a and b are rational numbers.
Contributed by: Izidor Hafner
Audio created with WolframTones:
tones.wolfram.com




![Dissection and Reassembly of Parallelogram of Given Base and Altitude
http://demonstrations.wolfram.com/DissectionAndReassemblyOfParallelogramOfGivenBaseAndAltitude
The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.
This Demonstration shows Wojtowiczs dissection of two parallelograms ABCD and ABCD with the same base AB and the same altitude. Reference [1] A. McFarland, J. McFarland and J. T. Smith, eds., Alfred Tarski, Early Work in Poland: Geometry and Teaching...
Contributed by: Izidor Hafner
Audio created with WolframTones:
http://tones.wolfram.com Dissection and Reassembly of Parallelogram of Given Base and Altitude](https://i.ytimg.com/vi/VYGeMrSxx8Y/mqdefault.jpg)




![Descartess Method of Evaluating the Principal Cube Root
http://demonstrations.wolfram.com/DescartessMethodOfEvaluatingThePrincipalCubeRoot
The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.
Descartes used the parabola with the equation y=x^2 and the circle with center (k/2,1/2) passing through (0,0) to construct the real or principal cube root RadicalBox[k, 3]. Every real number greater than zero has one real cube root and a pair of comple...
Contributed by: Izidor Hafner
Audio created with WolframTones:
http://tones.wolfram.com Descartess Method of Evaluating the Principal Cube Root](https://i.ytimg.com/vi/WUfDSzFx4pY/mqdefault.jpg)
