Question

If
z=−1−i3√
z=−1−i3
, find |z|

Answer 1

Answer on Question #58297 – Math – Complex Analysis

Question

If

z = -1 - i3√

z = -1 - i3,

find |z|.

Solution

If $z = -1 - i\sqrt{3}$ then |z| = |-1 - i\sqrt{3}| = \sqrt{(-1)^2 + (-\sqrt{3})^2} = \sqrt{4} = 2 $.

If $z = -1 - i \cdot 3$ then |z| = |-1 - 3i| = \sqrt{(-1)^2 + (-3)^2} = \sqrt{10} $.

Answer: 2; $\sqrt{10}$.

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