algebraic number
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An algebraic number is a type of number that solves a polynomial equation—like x² - 2 = 0—where the equation is built from whole numbers or fractions. These numbers matter because they form a fundamental building block in mathematics, helping us understand the structure of number systems and solve important problems in algebra and number theory.
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The square root of 2 is an algebraic number equal to the length of the hypotenuse of a right triangle with legs of length 1.
In mathematics, an algebraic number is a number that is a root of a non-zero polynomial in one variable with integer (or, equivalently, rational) coefficients. For example, the golden ratio