Complex roots

Find the sum of the fourth square root of the number 16.

Correct answer:

x =  0

Step-by-step explanation:

n=4 a=416=2 α=n2π=42 3.14161.5708 rad x1=a cos(0 α)=2 cos(0 1.5708)=2 x2=a cos(1 α)=2 cos(1 1.5708)=0 x3=a cos(2 α)=2 cos(2 1.5708)=2 x4=a cos(3 α)=2 cos(3 1.5708)2.09491014  x=x1+x2+x3+x4=2+0+(2)+2.09491014=0

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