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{{DISPLAYTITLE:''n''th root algorithm}}
The [[Principal branch|principal]] [[nth root|''n''th root]] <math>\sqrt[n]{A}</math> of a [[negative and positive numbers|positive]] [[real number]] ''A'', is the positive real solution of the equation▼
▲The [[Principal branch|principal]] [[nth root|''n''th root]] <math>\sqrt[n]{A}</math> of a [[negative and positive numbers|positive]] [[real number]] ''A'', is the positive real solution of the equation <math>x^n = A</math>.
(For a positive integer ''n'' there are ''n'' distinct [[complex number|complex]] solutions to this equation if <math>A > 0</math>, but only one is positive and real).
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