Modulus of $\frac{(2-i)(3-2 i)(1+i)}{1-i}$ is

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Professor PC Thomas Classes · Answer

Modulus property: $\left|\frac{z_1 z_2 z_3}{z_4}\right| = \frac{|z_1| |z_2| |z_3|}{|z_4|} = \frac{\sqrt{4+1} \sqrt{9+4} \sqrt{1+1}}{\sqrt{1+1}} = \sqrt{5} \cdot \sqrt{13} = \sqrt{65}$.