%0 Journal Article
%T On the Pythagorean triangles with an irrational hypotenuse
%J Mathematics and Computational Sciences
%I Qom University of Technology
%Z 2717-2708
%A Aliyev, Tofig
%A Pur Riza, Samir
%D 2022
%\ 02/01/2022
%V 3
%N 1
%P 37-41
%! On the Pythagorean triangles with an irrational hypotenuse
%K Incomplete square
%K Pythagorean theorem
%K Solution in integer numbers
%R 10.30511/mcs.2021.539538.1040
%X The paper investigates a number of incomplete exact roots of a series of natural numbers, in relation to the Pythagorean theorem that in a right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the legs. It uses the fact that the equation x^2+y^2=z^n,n=2,3,4,.. always has an solution (x,y,z) in integer numbers x,y,z∈Z={0,±1,±2,…}.
%U http://mcs.qut.ac.ir/article_249001_0b6f456d1618940e69427d9dcce51d89.pdf