Synopsis:

The expression \[ t = \frac{\sqrt{\pi}}{2}. \]

Has the following properties:

• The constant \( \frac{\sqrt{\pi}}{2} \) is a transcendental number. Which means it is not a root of a non-zero polynomial thus, meaning it is not algebraic.
• A transcendental number may also be of the following: \( t \in \mathbb{R} \) or \( t \in \mathbb{C}. \)

References:

- [1] Propp, James. "The Square Root of Pi." Math Horizons 28.3 (2021): 14-17.