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,…}.
Aliyev, T., & Pur Riza, S. (2022). On the Pythagorean triangles with an irrational hypotenuse. Mathematics and Computational Sciences, 3(1), 37-41. doi: 10.30511/mcs.2021.539538.1040
MLA
Tofig Aliyev; Samir Pur Riza. "On the Pythagorean triangles with an irrational hypotenuse". Mathematics and Computational Sciences, 3, 1, 2022, 37-41. doi: 10.30511/mcs.2021.539538.1040
HARVARD
Aliyev, T., Pur Riza, S. (2022). 'On the Pythagorean triangles with an irrational hypotenuse', Mathematics and Computational Sciences, 3(1), pp. 37-41. doi: 10.30511/mcs.2021.539538.1040
VANCOUVER
Aliyev, T., Pur Riza, S. On the Pythagorean triangles with an irrational hypotenuse. Mathematics and Computational Sciences, 2022; 3(1): 37-41. doi: 10.30511/mcs.2021.539538.1040