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Divide exactly using the conjugate of a surd denominator

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Two complex numbers are p=1−ip=1-i and q=−1+3 iq=-1+\sqrt3\,i, and z=p/qz=p/q. Express zz in the form x+iyx+iy, where x,yx,y are exact real values to be determined. marks

[2013/TJC/I/5(i)]

CJC · Review problems · Question 2

The denominator becomes the squared modulus of q.

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