Complex roots

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

Final Answer:

x =  0

Step-by-step explanation:

n=4 a=416​=2 α=n2π​=42⋅ 3.1416​≐1.5708 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)=2.0949⋅10−14  x=x1​+x2​+x3​+x4​=2+−0+(−2)+2.0949⋅10−14=0

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You need to know the following knowledge to solve this word math problem:

arithmeticplanimetricsnumbersgoniometry and trigonometryUnits of physical quantitiesGrade of the word problem

 
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