COMPLEX NUMBER
- Algebra of Complex number
- a+ib=c+id⇔a=cand b=d
- (a+ib)+(c+id)=a+c+i(b+d)
- (a+ib)−(c+id)=a−c+i(b−d)
- Additive identity =0=0+i0
- Additive inverse =a+ib=−a−ib
- (a+ib)(c+id)=(ac−bd)+i(bc+ad)
- c+ida+ib=c2+d2(a+ib)(c−id)
- Multiplicative identity =1=1+0i
- Multiplicative inverse of a+ib=a+ib1=a2+b2a−ib
10.√a√b=√ab if and only if at least one of
a and b is non-negative
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