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References to 'root'
1. $e^r$ is irrational for $r\in\mathbb{Q}\setminus\{0\}$ by Cosmin
2. a lecture on the partial fraction decomposition method by alozano
3. a polynomial of degree $n$ over a field has at most $n$ roots by alozano
4. algebraic extension by alozano
5. algebraically closed by djao
6. algebraically solvable by pahio
7. all algebraic numbers in a sequence by pahio
8. alternative definition of algebraically closed by polarbear
9. alternative proof that $\sqrt{2}$ is irrational by Wkbj79
10. an example for Schur decomposition by georgiosl
11. Cardano's derivation of the cubic formula by djao
12. Cardano's formulae by pahio
13. cardinality of algebraic closure by rspuzio
14. casus irreducibilis by pahio
15. characterization of abelian extensions of exponent n by rm50
16. classical problems of constructibility by Wkbj79
17. conjugate fields by pahio
18. conjugated roots of equation by pahio
19. cubic formula by djao
20. Descartes' rule of signs by PrimeFan
21. discriminant by rspuzio
22. equivalent conditions for normality of a field extension by azdbacks4234
23. Euler's derivation of the quartic formula by pahio
24. every algebraically closed field is perfect by polarbear
25. example of an extension that is not normal by Wkbj79
26. example of nonperfect field by CWoo
27. example of normal extension by alozano
28. example of solving a cubic equation by pahio
29. examples for Hensel's lemma by alozano
30. examples of minimal polynomials by Wkbj79
31. examples of ring of integers of a number field by alozano
32. examples of trace and norm by polarbear
33. existence of $n$th root by Wkbj79
34. existence of nth root by Mathprof
35. existence of the minimal polynomial by alozano
36. factor theorem by drini
37. Ferrari-Cardano derivation of the quartic formula by djao
38. field extension with Galois group $Q_8$ by rm50
39. finite field by yark
40. finite field cannot be algebraically closed by rspuzio
41. formally real field by CWoo
42. fundamental theorem of algebra result by rspuzio
43. Galois group of a cubic polynomial by rm50
44. Galois group of a quartic polynomial by rm50
45. Galois-theoretic derivation of the cubic formula by djao
46. Galois-theoretic derivation of the quartic formula by djao
47. generator for the mutiplicative group of a field by polarbear
48. Goniometric solution of cubic equation by Altair
49. Heaviside formula by pahio
50. Hensel's lemma by alozano
51. henselian field by mps
52. inflection points and canonical forms of non-singular cubic curves by rspuzio
53. irreducible polynomials obtained from biquadratic fields by Wkbj79
54. Krasner's lemma by rm50
55. Laplace equation in cylindrical coordinates by bloftin
56. mathematics vocabulary by matte
57. minimal polynomial (endomorphism) by mathcam
58. Newton's method by alozano
59. normal extension by djao
60. nth root by mathcam
61. partial fractions of expressions and partition problems (recreational) by rspuzio
62. phase parametrization in $\cos(x+p)=\cos x$ by perucho
63. point by Wkbj79
64. polynomial equation of odd degree by pahio
65. primitive element theorem by alozano
66. proof of casus irreducibilis for real fields by rm50
67. proof of characterization of perfect fields by mclase
68. proof of factor theorem using division by alozano
69. proof of fundamental theorem of algebra by scanez
70. proof of fundamental theorem of algebra (due to D'Alembert) by rspuzio
71. proof of fundamental theorem of Galois theory by pbruin
72. proof of Galois group of the compositum of two Galois extensions by rm50
73. proof of Kummer theory by rm50
74. proof of Lindemann-Weierstrass theorem and that e and $\pi$ are transcendental by rm50
75. proof of prime ideal decomposition in quadratic extensions of $\mathbb{Q}$ by Wkbj79
76. proof of rational root theorem by Wkbj79
77. proof of the fundamental theorem of algebra (Liouville's theorem) by Evandar
78. proof that a gcd domain is integrally closed by CWoo
79. properties of quadratic equation by pahio
80. pure cubic field by Wkbj79
81. Pythagorean field by CWoo
82. quadratic extension by CWoo
83. quadratic formula by yark
84. quadratic inequality by pahio
85. quartic formula by djao
86. quartic polynomial with Galois group $D_8$ by rm50
87. radical extension by djao
88. rational root theorem by drini
89. real closed fields by mathcam
90. reduction of elliptic integrals to standard form by rspuzio
91. resultant (alternative treatment) by Mathprof
92. Simple analytic discussion of the cubic equation by Altair
93. solving certain polynomial inequalities by CWoo
94. splitting field of a finite set of polynomials by polarbear
95. taking square root algebraically by pahio
96. Teichm\"uller character by alozano
97. The Hamiltonian ring is not a complex algebra by Algeboy
98. topological proof of the Cayley-Hamilton theorem by rmilson
99. totally real and imaginary fields by alozano
100. transcendence degree by mathcam
101. trigonometric cubic formula by mathcam
102. Tschirnhaus transformations by mathcam
103. ultrametric triangle inequality by pahio
104. Vieta's formula by neapol1s
105. Weil conjectures by nerdy2