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# Complex Numbers

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Suppose z is a complex number such that z^2 = 24 + 70*i. Find |z|.

Sep 15, 2021

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Suppose z is a complex number such that z^2 = 24 + 70*i. Find |z|.

Hello Guest!

$${\color{blue} |z|}=|\sqrt{z^2}|=|\sqrt{24+70i}|=|7+5i|=|\sqrt{74}|\color{blue}=8.60232...$$(so at WolframAlpha)

!

Sep 15, 2021
edited by asinus  Sep 16, 2021