# Transcendental

• April 24th 2009, 10:23 AM
Coda202
Transcendental
Assuming the pi is transcendental over Q, prove that (pi)^2 is also transcendental over Q
• April 24th 2009, 11:26 AM
Opalg
Quote:

Originally Posted by Coda202
Assuming the pi is transcendental over Q, prove that (pi)^2 is also transcendental over Q

If $\pi^2$ was a root of the rational polynomial $P(x)$, then $\pi$ would be a root of $P(x^2)$.