86 Views

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

Related Questions

Amity University-Noida B.Tech...
Apply
Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026
Amity University-Noida M.Tech...
Apply
Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026
SCSVMV Deemed to be Universit...
Apply
MBA At at SCSVMV | NAAC 'A' Grade | AICTE & UGC Aproved | 100% Placement Support | Merit-based Scholarships
Amity University-Noida BBA Ad...
Apply
Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026
VIT Bhopal University | B.Arc...
Apply
Mark presence in the Modern Architectural field with Bachelor of Architecture | Highest CTC : 70 LPA | Accepts NATA Score
New Horizon College BBA Admis...
Apply
UG Admissions 2026 open| NAAC ‘A’ grade | Merit-based Scholarships available.
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books