Given Z1=1+√3i and Z2=1-i find Z1/Z2 using ordinary complex number arithmetic?

Answer 1

(1+i√3)/(1-i)

In order to simplify fractions of complex numbers, multiply both numerator and denominator by the conjugate of the denominator:

(1+i√3)(1-i)/(1+1)

Simplify:

(1 + i√3 - i + √3)/2
(1+√3)/2 + i (√3 - 1)/2

And we are done.

Answer 2

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