x is algebraic and let y = x + 3. Is y algebraic? and why is it?

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- Jul 28th 2011, 03:53 AMthomasboatengalgebraic numbers
x is algebraic and let y = x + 3. Is y algebraic? and why is it?

- Jul 28th 2011, 04:06 AMalexmahoneRe: algebraic numbers
- Jul 28th 2011, 11:00 AMFernandoRevillaRe: algebraic numbers
More general, $\displaystyle \mathbb{A}=\{x\in\mathbb{R}:\; x\mbox{ & algebraic & over}\;\mathbb{Q}\}$ is a field (non finite extension of $\displaystyle \mathbb{Q}$)