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 Law A...
Apply
700+ Campus placements at top national and global law firms, corporates and judiciaries
Amity University Noida B.Tech...
Apply
Among Top 30 National Universities for Engineering (NIRF 2024) | 30+ Specializations | AI Powered Learning & State-of-the-Art Facilities
Amity University Noida MBA Ad...
Apply
Amongst top 3% universities globally (QS Rankings) | Ranked among top 10 B-Schools in India by multiple publications
Amity University, Noida BBA A...
Apply
Ranked amongst top 3% universities globally (QS Rankings)
MAHE Online MBA
Apply
Apply for Online MBA from Manipal Academy of Higher Education (MAHE)
FLAME University | MBA 2026
Apply
NAAC A++ Grade | MBA program graded A** (National) by CRISIL | AACSB, ACBSP and BGA Member
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