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The imaginary unit or unit imaginary number (i) is a solution to the quadratic equation x2 + 1 = 0. Although there is no real number with this property, i can be used to extend the real numbers to what are called complex numbers, using addition and multiplication. A simple example of the use of i in a complex number is 2 + 3i. There are two complex square roots of −1, namely i and −i, just as there are two complex square roots of every real number other than zero (which has one double square root).(For the history of the imaginary unit, see Complex number § History.)

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rdfs:label	Imaginary unit (en)
rdfs:comment	The imaginary unit or unit imaginary number (i) is a solution to the quadratic equation x2 + 1 = 0. Although there is no real number with this property, i can be used to extend the real numbers to what are called complex numbers, using addition and multiplication. A simple example of the use of i in a complex number is 2 + 3i. There are two complex square roots of −1, namely i and −i, just as there are two complex square roots of every real number other than zero (which has one double square root).(For the history of the imaginary unit, see Complex number § History.) (en)
sameAs	Imaginary unit Imaginary unit
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foaf:homepage	http://mathdl.maa.org
Subject	Algebraic numbers Complex numbers Quadratic irrational numbers Mathematical constants
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Imaginary_unit?oldid=1072026442&ns=0
Wikipage page ID	52358 (xsd:integer)
page length (characters) of wiki page	21541 (xsd:nonNegativeInteger)
Wikipage revision ID	1072026442 (xsd:integer)
Link from a Wikipage to another Wikipage	Nth root Root of unity Uniqueness quantification Unit circle Well-defined expression 0 Absolute value Addition Additive inverse Algebraic closure Argument (complex analysis) Automorphism Automorphism group Biquaternion Bivector (complex) Up to Branch point Three-dimensional graph Algebraic numbers Complex numbers Quadratic irrational numbers Mathematical constants Python (programming language) Quadratic equation Quadratic function Quaternion Zero of a function Circle group Principal value Square (algebra) Square root Complex analysis Complex conjugate Complex logarithm Complex number Complex plane Control engineering Orthogonal group Electric current Electrical engineering Equating coefficients Fundamental theorem of algebra Galois group Gamma function Imaginary number Factorial Field (mathematics) Integer Iota Modulo operation Cis (mathematics) Euler's identity Isomorphism MATLAB Mathematical constant Mathematics The Times (disambiguation) Inverse second Multiplicity (mathematics) Multivalued function Polynomial Real line Real number Regular polygon Riemann surface Sine and cosine

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