UrbanPro
Login Ask & Answer Success Stories Paid Courses Free Classes Tuition & Classes Fees Write a Review All Categories Help Center
Post your Learning Need Signup as a Tutor
✕

Popular Cities

Bangalore

Hyderabad

Delhi

Mumbai

Chennai

Pune

Kolkata

Gurgaon

Ahmedabad

Jaipur

Noida

✕

Take Class 12 Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Book a Free Demo

Class 12 Tuition > Prove that cube root of unity is equal to the square...
✕

Search in

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

__________ of the Newtonian laws don not hold in an accelerated frame of reference. (Newton’s first and second law of motion, Newton’s scond and third law of motion, third law of motion, Newton’s first law of motion and law of Gravitation)
Each of the newtonian law holds good, but we have to apply a pseudo force before using f=ma in an accelerated frame of reference.
Narendra Kumar
Magnetic effects of current 1 what is lenz law? 2 explain briefly MCG?
An electric current induced by a changing magnetic field will flow such that it will create its own magnetic field that opposes the magnetic field that created it. A moving coil galvanometer is an instrument...
Abdhesh
For each material emission occurs only for certain definite frequency fo of light called __________. (1 Hertz, Critical frequency, threshold frequency, minimum frequency)
Threshold frequency
Narendra Kumar
1 0
8
What are the differences between a primary cell and a secondary cell?
Primary cells are batteries that are not easily recharged after use, while secondary cells are those which can be recharged. Usually, primary cells are discarded
Anmol
1 0
6
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was: A. 14 years B. 19 years C. 33 years D. 38 years
14 years
Srikanth
0 0
6

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

Ask a Question

Related Lessons

Trigonometry

Manibhushan K.

0 0
0
What is an Assets ?
Assets are sometimes defined as resources or things of value that are owned by a company. Some examples of assets which are obvious and will be reported on a company's Balance Sheet include: cash, accounts...

Dev Group

1 0
0
5-Study Tips every student needs to follow to get results
Tip-1 of Study Tips:Trying to do all tasks together First and foremost thing to do for being more productive is to prioritize our tasks. When you're clear about your priorities, you never try to do all...

DIO Tutorial Point

0 0
0
Easy Explanation of the 10 Most Popular Accounting Principles and Concepts
Dear Students,Every academic subject that you study has a business language and specific jargons of expression.The following popular terms regarding the Accounting principles used in the day to day business...

Madhura Sagar G.

1 0
0
Electrostatics
In electrostatics, charge is always at rest. when charge is at rest ,it is source of an electric field. Charge:- It is excess or defficiency of electrons on a body. Method Of Charging:- 1- By Induction,...

S K Singh

0 0
0

Recommended Articles

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 Kolkata
Class 12 Tuition in Mumbai
Class 12 Tuition in Chennai
Class 12 Tuition in Pune
Class 12 Tuition in Lucknow
Class 12 Tuition in Jaipur
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
X

Looking for Class 12 Tuition Classes?

The best tutors for Class 12 Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class 12 Tuition with the Best Tutors

The best Tutors for Class 12 Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more

ThinkVidya Learning Pvt Ltd © 2010-2025 All Rights Reserved