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if a+b+c=0 . a^1/3 + b^1/3 + c^1/3=?


himmatpatel1009 23rd Jul, 2020
Answer (1)
Ankita Grover 27th Jul, 2020

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

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