View source for Thiin kakan

[[File:Complex number illustration.svg|thumb|right|Waxaa suurtagal ah tiro kakan in ay matasho qaab lamaanayaasha hoorsan ah ee tirada maangalka ah]]
'''Thiin kakan''' ama '''Tiro kakan''' waa [[tiro]] loo qoro qaab isku beegnaan ah 1----1 ama <math>a+bi\,</math> halka <math>a</math> iyo <math>b</math>.
ayaa ka dhaxeysa baraha xarriiq tiro iyo tirooyinka maangalka ah, taasoo inoo fududeyneysa shaqaynta Aljabraha. Tusaale ahaan ma jirto tiro maangal ah oo raalligelineysa isle'egta : <math>x^{2} + 1 = 0</math>. Isle'egta iyo wixii la mid ah si aynu u furfurno waxaynnu adeegsaneynaa ururka tirooyinka kakan.

Tirooyinka habdhiskaa ku jiraa waxey ka koobanyihiin, lammaanayaal hoorsan oo maangal ah (a, b). Sidaa daraadeed, way inoo suuragelaysaa inaynu iskubeegnaan 1------1 ka dhaxeysiino tirooyinka kakan iyo dhibcaha sallax ka koobanyahay. Guud ahaan Zi waxey u taagantahay lamaanayaal hoorsan oo tirooyinka maangalka ah K-na waxey u taagantahay ururka tirooyinkaa oo dhan. 

 Haddii :<math>z_{1} \in  k,z_{2} \in k,</math> oo <math> z_{2} \neq (0, 0);</math> markaa :<math> {\cdot} \frac{z_1}{z_2} = {z_1}{z-1_2}</math>

go'aanka halkaas inooga soo baxaya waa in:

:<math>\,\left({c , o \over c , o}\right) = ( a , 0 )  {(c , 0)^1} </math>
= ( a , 0 ) :<math> = \{{\cdot} \frac{1}{c}, 0 \}.</math>

= [<math> {\cdot} \frac{a}{c} - 0,a. 0+0 .\frac{1}{c}</math>]

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