View source for Square root

{{Stub page|grade=A|msg=Complex viewpoint would be good, maybe a numerical one for approximating maybe?}}
{{Disambiguation}}
* [[Square root (real function)]] - a [[map]], {{M|f:\mathbb{R}_{\ge 0}\rightarrow\mathbb{R}_{\ge 0} }} where {{M|f(x)}} is typically written {{M|\sqrt{x} }} or {{M|x^\frac{1}{2} }}
* [[Imaginary constant]] - defined as {{M|\sqrt{-1} }}, typically denoted {{M|j}} or {{M|i}} (this site uses {{M|j}}), this forms the basis of the [[complex numbers]]
** Note if we write {{M|a+b\sqrt{-1} }} we can keep it this way without evaluating {{M|\sqrt{-1} }}, then say we do {{M|(a+b\sqrt{-1})(c+d\sqrt{-1})}} we expand to get {{M|ac+bd(\sqrt{-1})^2+\sqrt{-1}(ad+bc)}}, obviously {{M|(\sqrt{-1})^2\eq-1}} so {{M|(a+b\sqrt{-1})(c+d\sqrt{-1})\eq ac-bd+\sqrt{-1}(ad+bc)}}

{{Definition|Complex Analysis|Numerical Analysis|Analysis|Real Analysis}}