The modulus of $(1 + i) (1 + 2 i) (1 + 3 i)$ is equal to

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Solution

Find the calculation of modulus.
Given,
The modulus of $(1 + i) (1 + 2 i) (1 + 3 i)$
The modulus is calculated as follows
$|(1 + i) (1 + 2 i) (1 + 3 i)|$
$= |1 + i| |1 + 2 i| |1 + 3 i| (|z_{1} z_{2}| = |z_{1}| |z_{2}|)$
$=$ $\sqrt{2} . \sqrt{5} . \sqrt{10}$
$|(1 + i) (1 + 2 i) (1 + 3 i)|$
$= 10$
Hence ,the modulus of $(1 + i) (1 + 2 i) (1 + 3 i)$ is equal to $10$ .

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