Square root

From Maths
Jump to: navigation, search
Stub grade: A
This page is a stub
This page is a stub, so it contains little or minimal information and is on a to-do list for being expanded.The message provided is:
Complex viewpoint would be good, maybe a numerical one for approximating maybe?


This page lists articles associated with the same title.

If an internal link led you here, you may wish to change the link to point directly to the intended article.

Square root may refer to:

  • Square root (real function) - a map, [ilmath]f:\mathbb{R}_{\ge 0}\rightarrow\mathbb{R}_{\ge 0} [/ilmath] where [ilmath]f(x)[/ilmath] is typically written [ilmath]\sqrt{x} [/ilmath] or [ilmath]x^\frac{1}{2} [/ilmath]
  • Imaginary constant - defined as [ilmath]\sqrt{-1} [/ilmath], typically denoted [ilmath]j[/ilmath] or [ilmath]i[/ilmath] (this site uses [ilmath]j[/ilmath]), this forms the basis of the complex numbers
    • Note if we write [ilmath]a+b\sqrt{-1} [/ilmath] we can keep it this way without evaluating [ilmath]\sqrt{-1} [/ilmath], then say we do [ilmath](a+b\sqrt{-1})(c+d\sqrt{-1})[/ilmath] we expand to get [ilmath]ac+bd(\sqrt{-1})^2+\sqrt{-1}(ad+bc)[/ilmath], obviously [ilmath](\sqrt{-1})^2\eq-1[/ilmath] so [ilmath](a+b\sqrt{-1})(c+d\sqrt{-1})\eq ac-bd+\sqrt{-1}(ad+bc)[/ilmath]