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Algebraic number

A real number is algebraic if it is the root of some polynomial with integer coefficients, such as .

Definition 1.3 (Algebraic Number)
A real number is algebraic if it is the root of some polynomial with integer coefficients. e.g. .

Examples

Example 5.29
  1. Every rational number is algebraic, since if , then .

  2. is algebraic, since it satisfies .

Related

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