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Square root

Definition

The function returns a number y such that y2=x: f(x)=xx12.

Graph

The graph of the square root function looks like this:

{{ :math:sqrt_of_x.jpg?500 |The graph of the function x.}}

Properties

y2 is negative, the function f(x)=x

  is not defined for negative inputs $x$.

Parameters

you can have nth root nx which is the inverse

  function to $x^n$. For example, the inverse function for the 
  cubic function $f(x)=x^3$ is the //cube root//:
  \[
    f(x) = \sqrt[3]{x}  \equiv x^{\frac{1}{3}}.
  \]
  So we have $\sqrt[3]{8}=2$ since $2\times2\times2=8$.