What is the square root of pi?

The square root of pi, denoted as √π, is a transcendental number. This means it is not the root of any non-zero polynomial equation with integer coefficients.

• Approximate Value: The approximate value of √π is 1.7724538509...

• Transcendental Number: As mentioned above, √π belongs to the set of transcendental%20numbers, which are numbers that are not algebraic.

• Gamma Function: √π appears in the evaluation of the gamma%20function at 1/2: Γ(1/2) = √π. The gamma function is a generalization of the factorial function to complex and real numbers.

• Applications: √π appears in various mathematical contexts, including probability, statistics, and calculus. For instance, it is used in the normalization factor of the Gaussian%20distribution (normal distribution).

• Integral: Related to the Gaussian distribution, √π also appears in the Gaussian integral: ∫₋∞⁺∞ e⁻ˣ² dx = √π.