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Let $z = 2 e^{10 \pi i/21} $ and $w = e^{\pi i/7}$. Then what is \[|(z+w)^6|,\]the magnitude of $(z+w)^6$?

 Jan 11, 2019
 #1
avatar+27476 
+4

As follows:

 

 

(Can't help feeling there's probably a simpler way!)

 Jan 11, 2019
 #2
avatar+27476 
+3

Here's a simpler way!

 

.

Alan  Jan 11, 2019
 #3
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+1

Better method Alan, but you've still missed the 2 at the front of z.

 Jan 11, 2019
 #4
avatar+27476 
+1

You are right!  But I'll leave it to someone else to include that!

Alan  Jan 11, 2019

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