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Level 493

Complex Numbers & Roots


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imaginary unit
i, the square root of -1
imaginary number
the square root of a negative number
complex number
includes real and imaginary numbers
real part
in complex number
imaginary part
in complex number
complex conjugate
the value of 1 represented by the denominator of a complex fraction with opposite sign
What is a complex number?
An expression of the form
(a+bi)+(c+di)
Add the real parts and the imaginary parts
(a+bi)-(c+di)
Subtract the real parts and the imaginary parts
(a+bi)(c+di)=?
Multiply complex numbers like binomials, using i^2=-1