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Find an exact quotient modulus without a calculator

Given z=1+iz=1+i and w=3+iw=\sqrt3+i, without the use of a calculator, find the exact value of ∣zw∣\left|\dfrac zw\right|. marks

[2009/ACJC/II/4(a)(modified)]

CJC · Review problems · Question 15

The denominator becomes 4 after multiplication by its conjugate.

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