left| {(1 + i)frac{{(2 + i)}}{{(3 + i)}}} rig | vedclass

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(C) We use the property of the modulus of complex numbers: $|z_1 z_2| = |z_1| |z_2|$ and $|\frac{z_1}{z_2}| = \frac{|z_1|}{|z_2|}$.$\left| {(1 + i)\fr

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$1$

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(C) We use the property of the modulus of complex numbers: $|z_1 z_2| = |z_1| |z_2|$ and $|\frac{z_1}{z_2}| = \frac{|z_1|}{|z_2|}$.$\left| {(1 + i)\frac{{(2 + i)}}{{(3 + i)}}} ight| = |1 + i| 	imes \frac{|2 + i|}{|3 + i|}$$= \sqrt{1^2 + 1^2} 	imes \frac{\sqrt{2^2 + 1^2}}{\sqrt{3^2 + 1^2}}$$= \sqrt{2} 	imes \frac{\sqrt{5}}{\sqrt{10}}$$= \frac{\sqrt{10}}{\sqrt{10}} = 1$.

$\left| {(1 + i)\frac{{(2 + i)}}{{(3 + i)}}} \right| = $

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