if a+b+c=0 . a^1/3 + b^1/3 + c^1/3=?
Using the identity: a^3 + b^3 + c^3 = 3abc in this question:
Given: a + b + c = 0
(a^1/3) ^3 + (b^1/3) ^3 + (c^1/3) ^3 = 0
a^1/3 + b^1/3 + c^1/3 = 3 a^1/3 * b^1/3 * c^1/3
a^1/3 + b^1/3 + c^1/3 = 3 (abc) ^ 1/3 Answer