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Let z and w be complex numbers satisfying \(|z| = 4\) and \(|w| = 2\). Enter in the numbers

 

\(|z+w|, |zw|, |z-w|, \left| \dfrac{z}{w} \right|\)

below, in the order listed above. If any of these cannot be uniquely determined from the information given, enter in a question mark.

 

If it's not too much trouble I would appreciate steps with your answer as well.

 May 22, 2021
 #1
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The answers are 6, 8, 2, 2.  Hope this helps!

 May 22, 2021
 #2
avatar+193 
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|z|=4

|w|=2

4+2=6

2*4=8

4-2=2

4/2=2

mathisopandcool  May 22, 2021
 #3
avatar+113617 
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How could this answer (guest's initial answer) possibly help ? ... unless the sole purpose of the question was to cheat.

Melody  May 22, 2021

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