0

Guest

Courses New

w is the cubic root of unity then root w+ root w^2=?

w is the cubic root of unity then root w+ root w^2=?

Grade:12

2 Answers

Aditya Gupta
2081 Points
4 years ago
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 :))
Arun
25750 Points
4 years ago
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

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More