Properties

Algebraic Number

Complex number that is the root of a non-zero polynomial with rational coefficients. Numbers such as π, sin(1), e, 2sin(3) are not algebraic numbers. They are called transcendental numbers.

Example

The number [latex]\sqrt{7}[/latex] is an algebraic number, since it is the root of the equation : [latex]{x^2}– 7 = 0[/latex]. The complex (imaginary) number [latex]2[/latex]i = [latex]2\sqrt{-1}[/latex] is an algebraic number because it is the solution to the equation x2 + 4 = 0.

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