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Grade: 12
        
w is the cubic root of unity then root w+ root w^2=?
2 months ago

Answers : (2)

Aditya Gupta
1819 Points
							
w^3=1
w^3 – 1= 0
(w – 1)(w^2+w+1)= 0
assuming w is not 1 itself
w^2+w+1= 0
or w^2+w= – 1 
now, let x= root w+ root w^2
x^2 = w + w^2 + 2root(w^3)
= – 1 + 2root(1)
= 1
so x= ± 1
kindly approve :))
2 months ago
Arun
23520 Points
							
Dear student
 
w^3 = 1
 
w^3 – 1 = 0
(w – 1) (w^2 + 1 + w) = 0
 
hence w + w^2 = -1 only
 
Hope it helps
 
Regards
2 months ago
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