Algebraic Number/Examples/5 over 2

Example of Algebraic Number

$\dfrac 5 2$ is an algebraic number.

Proof

$\dfrac 5 2$ is a root of $2 x - 5 = 0$.

Hence the result by definition of algebraic number.

$\blacksquare$

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): algebraic number
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): algebraic number