Square Root Function
f(x) = √x
The square root function is a mathematical function that takes a non-negative real number as input and returns its square root as output. In other words, the square root of a number is the value that, when squared, gives the original number.
The square root function is denoted by the symbol √. For example, √25 = 5, because 5*5 = 25. The square root of a non-perfect square number is an irrational number, which means it goes on infinitely without repeating.
Some properties of the square root function include:
– The domain of the function is non-negative real numbers
– The range of the function is non-negative real numbers
– The function is continuous and differentiable over its domain
– The inverse of the square root function is the square function
The square root function is used in many areas of mathematics and science, such as in solving quadratic equations, determining the magnitude of vectors, finding the distance between two points, and calculating the standard deviation in statistics.
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