SqrtPs

SqrtPs, short for "square root of pi," is a mathematical constant that represents the square root of the mathematical constant pi (π). It is denoted as √π or sqrt(π). The value of sqrt(π) is approximately 1.772453850905516. Like pi, sqrt(π) is an irrational number, meaning its decimal representation never ends and never repeats. It is also a transcendental number, which means it is not the root of any non-zero polynomial equation with rational coefficients. Sqrt(π) appears in various mathematical contexts, including probability theory, statistics, and physics. For example, it is the standard deviation of the normal distribution with mean 0 and variance π. In number theory, it is related to the Gaussian integer π, which is the complex number with real and imaginary parts both equal to √π. Despite its simple definition, sqrt(π) has a rich mathematical history and continues to be a subject of study in various fields.