Simple Criteria for \(\sqrt[n]{x}\) (n \(\in\) N, n \(\ge\) 2, x \(\in\) R) Being a Rational or an Irrational Number

References (13)

1. 1 International Electrotechnical Commission [DOI]
2. 2 A Classical Introduction to Modern Number Theory [DOI]
3. 3 The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae [DOI]
4. 4 Landmark Writings in Western Mathematics 1640-1940 [DOI]
5. 5 Encounters with Euclid: How an Ancient Greek Geometry Text Shaped the World
6. 6 New methods for approximating square roots [DOI]
7. 7 Revisiting Roots of Real Numbers.
8. 8 From Square Roots to n-th Roots: Newton's Method in Disguise [DOI]
9. 9 A numerical algorithm for nth root [DOI]
10. 10 The Set of Rationale Numbers is Countably Infinite-A Simple Proof [DOI]
11. 11 How to prove it: a structured approach [DOI]
12. 12 Euclid--the creation of mathematics [DOI]
13. 13 Proving the existence of the $n$th root by induction [DOI]

Cited by 0

No indexed citations yet.

Related research

• The Mathematical Proof for the Beal Conjecture — shares topic coverage
• Solutions to the Equations 2w – 3n ± 1=0 with w and n Positive Integers — shares topic coverage
• On the Generalization of Factoriangular Numbers — shares topic coverage