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An '''imaginary number''' in mathematics is any number that contains the imaginary unit, defined as, <math>i^{2} = -1</math>

An '''imaginary number''' in mathematics is any number that contains the imaginary unit, defined as, <math>i^{2} = -1</math>

An imaginary number is of the form, <math>\theta i</math>, where <math>\theta</math> is a [[real number]].

An imaginary number is of the form, <math>k i</math>, where ''k'' is a [[real number]].

For example <math>\sqrt{-1}</math> has imaginary solution of

For example <math>\sqrt{-1}</math> has imaginary representation of

:<math>\sqrt{-1}=\pm i</math>.

:<math>\sqrt{-1}= i</math>.

When a imaginary number is added to real number, they form a [[complex number]].

When a imaginary number is added to real number, they form a [[complex number]].