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Question

Let z1=2i,z2=2+i. Find Re(z1z2z1)

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Solution

z1=2i
z2=2+i
z1z2=(2i)(2i)
z1z2=4+2i+2i+1
z1z2=4i3
z1z2z2=(4i32i)(2+i2i)
=8i463i4i2
=5i104+1=i2
Re(i2)=2


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