Prove that cube root of unity is equal to the square of another cube root of unity

Asked by Last Modified  

9 Answers

Follow 0
Answer

Please enter your answer

Computers,Music and Myself !

Well,thats pretty simple . The cube roots of unity are 1, , . Excluding 1, perform a square of any of the remaining roots (i.e The complex number roots) If you perform a square of , you get , and vice-versa . Hope this answers your question.
read more
Well,thats pretty simple . The cube roots of unity are 1, [(-1+(sq.root 3)*i)/2] , [(-1 - (sq.root 3)*i)/2] . Excluding 1, perform a square of any of the remaining roots (i.e The complex number roots) If you perform a square of [(-1 - (sq.root 3)*i)/2] , you get [(-1 + (sq.root 3)*i)/2] , and vice-versa . Hope this answers your question. read less
Comments
Dislike Bookmark

Tutor

The three cube roots of unity are as follows: 1, (-1+i*sqrt(3))/2, (-1-i*sqrt(3))/2. Let us square the second root /4 =/4 Cancelling one 2 from numerator and denominator. =(-1-i*sqrt(3))/2. which is the third cube root. Thus the second cube root of unity is the square root of the...
read more
The three cube roots of unity are as follows: 1, (-1+i*sqrt(3))/2, (-1-i*sqrt(3))/2. Let us square the second root [1 - 2*i*sqrt(3) - 3]/4 =[-2- 2*i*sqrt(3)]/4 Cancelling one 2 from numerator and denominator. =(-1-i*sqrt(3))/2. which is the third cube root. Thus the second cube root of unity is the square root of the third cube root of unity. read less
Comments
Dislike Bookmark

Computers,Music and Myself !

Well,thats pretty simple . The cube roots of unity are 1, , . Excluding 1, perform a square of any of the remaining roots (i.e The complex number roots) If you perform a square of , you get , and vice-versa . Hope this answers your question.
read more
Well,thats pretty simple . The cube roots of unity are 1, [(-1+(sq.root 3)*i)/2] , [(-1 - (sq.root 3)*i)/2] . Excluding 1, perform a square of any of the remaining roots (i.e The complex number roots) If you perform a square of [(-1 - (sq.root 3)*i)/2] , you get [(-1 + (sq.root 3)*i)/2] , and vice-versa . Hope this answers your question. read less
Comments
Dislike Bookmark

MBA

Cal me I will explain.
Comments
Dislike Bookmark

Teaching is my passion!!!!

cube root of unity is (1)^(1/3)=1.....and square of cube root is 1...so equal..
Comments
Dislike Bookmark

Home Tutor

Ok your answer is correct both are same
Comments
Dislike Bookmark

Home Tutor

(+1)x(+1)X(+1) = +1 hence cube root of 1 is also 1 and obviously the square of another cuberoot of unity is also equals to 1. QED
Comments
Dislike Bookmark

I teach maths in such a way that students get the concept in easily and score well in exams.

cube root of unity is 1. so lhs is 1. now cube root of unity is 1 and its square is also 1,so rhs is also 1. lhs=rhs hence proved
Comments
Dislike Bookmark

M.Tech with 4 years of experience

whatever u do with unity will always be one.
Comments
Dislike Bookmark

View 7 more Answers

Related Questions

How can I start conducting online tuition?
u can register as online tutor, the student those who are willing for e-learning they will inbox you,in that way u can start online tuition .
Shainaj S.
How much branding is favourable for choosing best coaching & relevant studies ?
Word-of mouth and review from known people is more trusted nowadays than brands.
Tapovan Classes
The current in a circuit follows the relation i = 100sin?t. If frequency is 25 Hz, how long will it take for the current to rise to 50 A ? a.) 1 ms. b.) 3.33 ms. c.) 10 ms. d.) 20 ms.
i= sin wt f= 25 HZ w= 2×pi×f t=? 50=100 sin wt 50=100 sin (2×180×25) t 50/100= sin 9000 t 1/2=sin 9000 t Sin-' (1/2)= 9000t sin -' (1/2)=30 30= 9000 t t = 30/9000 t = 1/300 = 3.33 ms.
Kumar Upendra Akshay
0 0
View Comments9
The concepts of electric field lines was introduced by a famous scientist __________ (Newton, Faraday, Einstein, Coulomb)
Faraday
Narendra Kumar
0 0
View Comments6
In SI units electric potential is measured in __________. (Coulombs, Amperes, Volts, N/C2)
Volts
Narendra Kumar
0 0
View Comments6

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Differentiating 2(x^2) using first principle
Differentiate 2x² using first principle We know from first principle that dy/dx f(x) = lim δx→0 /δx Here f(x) = 2 x² substituting 2x² in place of x in the equation above lim...

B.sudhakar

3 0
View Comments0
Concept For IIT NEET: Trick To Find The Major Product Formed In The Reaction-Influence Of Addition Of Base And Thermal Conditions.
a) The first step to find the major product under the influence of base and thermal conditions is to first identify from where the bond has the maximum possibility to break owing to various factors: 1....

Nidhi T.

0 0
View Comments0
For NEET/ IIT Aspirants - Reaction With Butyllithium And Caron-Dioxide
Butyl-lithium is principally valued as an initiator for the ionic polymerization of dienes,such as butadienes. The reaction is called "carbolithiation". C4H9LI + CH2=CH-CH=CH2 → C4H9-CH2-CH=CH-CH2Li Butyl-lithium...

Nidhi T.

0 0
View Comments0
Life Lesson
" Success is never ending and Failure is never final " so even though you get successed in your life , never feel that your job is completed . Dream big and keep working on it to reach your goal. similarly...
A

Akhilaa Panaganti

6 0
View Comments3
Atomic Structure
All substances are made from atoms. Each atom is made of a nucleus - containing protons and neutrons - surrounded by electrons. The atomic number is the number of protons in an atom. The elements are...

Tejas Academy Centre

1 0
View Comments0

Recommended Articles

Meet Sandhya R, a B.Sc tutor from Bangalore

Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...

Read full article >

Meet Radhe Shyam Burman, an MBA Tutor from...

Radhe Shyam is a highly skilled accounts and finance trainer with 8 years of experience in teaching. Accounting is challenging for many students and that’s where Radhe Shyam’s expertise comes into play. He helps his students not only in understanding the subject but also advises them on how to overcome the fear of accounts...

Read full article >

Meet Mohammad Wazid, a skilled trainer for...

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

Read full article >

Meet Urmila, an MBBS tutor from Bangalore

Urmila is a passionate teacher with over 8 years of experience in teaching. She is currently pursuing her Ph. D. She provides classes for Class 11, Class 12, MBBS and Medical tuition.  Urmila began her career in teaching long before she became a teacher. She used to provide classes for foreign national students in her college...

Read full article >

Find Class 12 Tuition near you
Class 12 Tuition in Delhi
Class 12 Tuition in Bangalore
Class 12 Tuition in Hyderabad
Class 12 Tuition in Chennai
Class 12 Tuition in Kolkata
Class 12 Tuition in Mumbai
Class 12 Tuition in Pune
Class 12 Tuition in Jaipur
Class 12 Tuition in Lucknow
Class 12 Tuition in Noida
Online Tuition Class 12

Looking for Class 12 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you