[br][color=#0000ff] [b][i]Root n of x[/i] [/b] is the number for which[/color][br][br]  [math]\Large \textcolor{blue}{(\sqrt[n] x)^n=x.}[/math][br][br] [br]If  [color=#0000ff][i]n is even[/i][/color], then [color=#0000ff][i]x[/i][/color] must be [color=#0000ff]positive[/color]. For odd n, this requirement is not needed.[br][br][br][color=#0000ff]Examples:[/color][br][br] 1. [math] \sqrt[4]{16}=2[/math][br] [br] 2. [math] \sqrt[5]{-1024}=-5[/math] [br] [br] 3. [math] \sqrt[8]{-256} \text{ not defined}[/math] [br][br]