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sqrt(2) solution in 3rd party category for The Best Number Ever by Max0526
from numpy import sqrt
def checkio():
'''
Some interesting properties of the number sqrt(2):
1. Irrationality: sqrt(2) is an irrational number, which means that it cannot be expressed as a ratio of two
integers. In other words, it cannot be represented as a fraction with finite numerator and denominator.
This property makes sqrt(2) an interesting number in mathematics.
2. Geometric significance: The number sqrt(2) has a geometric significance as it represents the length of the
diagonal of a square with unit sides. This property is used in various geometric and trigonometric calculations.
3. Algebraic properties: sqrt(2) is also an algebraic number, which means that it is a solution to a polynomial
equation with rational coefficients. In particular, sqrt(2) is a root of the equation x^2 - 2 = 0.
4. Transcendental extension: sqrt(2) is the smallest example of a number that is not algebraic over the field
of rational numbers, but is algebraic over the field of real numbers. This property makes it a transcendental
extension of the rational numbers.
5. Constructions: It is impossible to construct a square with exactly the same area as a given circle using only a
straightedge and compass. However, the construction of the square with area equal to the circle involves the
computation of the square root of 2. This property was discovered by the ancient Greeks and played a significant
role in the development of geometry.
'''
return sqrt(2)
if __name__ == '__main__':
# These "asserts" using only for self-checking and not necessary for auto-testing
assert isinstance(checkio(), (int, float, complex))
April 30, 2023
