Question

Let
z∈C
z∈C
, then
|z|∈…

Answer 1

Answer on Question #58285 – Math – Complex Analysis

Question

Let $z \in \mathbb{C}$, then $|z| \in \cdots$

Solution

If $z \in \mathbb{C}$, then $|z| \in \mathbb{R}$. Indeed, the modulus of any complex number $z = a + bi$ is defined by $|z| = \sqrt{a^2 + b^2}$, which is already a real number.

Answer: $|z| \in \mathbb{R}$

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