(i+under root 3)whole to the power100  +(i -under root 3)whole to the power 100 + 2 whole to the power 100=????

4 years ago


Answers : (1)


Dear Gurpreet,


w = (-1 + sqrt.3 i)/2   or w = (-1 - sqrt.3 i)/2

i2 = -1

so, w = i (i + sqrt.3 )/2 and w = i (i - sqrt.3 )/2

put value of w = (i + sqrt.3 ) and w = (i - sqrt.3 ) in given quest. and use w3 = 1 and i2 = -1 to solve the problem.



Please feel free to ask your queries here. We are all IITians and here to help you in your IIT JEE preparation.

All the best.

Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.

Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar  respectively : Click here to download the toolbar..


Askiitians Expert

Anil Pannikar

IIT Bombay

4 years ago

Post Your Answer

More Questions On IIT JEE Entrance Exam

Ask Experts

Have any Question? Ask Experts
Post Question
Answer ‘n’ Earn
Attractive Gift
To Win!!!
Click Here for details
Find the locus of the mid point of the chord of a circle x 2 + y 2 = 4 such that the segment intercepted by the chord on the curve x 2 - 2x – 2y =0 subtends a right angle at the origin.
ohh , really?? have you even tried to draw the figure urself ??? all the segments intercepted on this curve inside the circle subtend an obtuse angle
abhidon3 22 days ago
well its a correct question
Vikrant Prasad 22 days ago
hey man ,, why you guyz post such a question which are either wong or incompete ,, it wastes too much time ,,,
abhidon3 23 days ago
what is the last date for joining test series of brilliant for iit jee preparation 2015 & what is the procedure to join this.
Hi Student, Go to the official website of Brilliant. You will get all the...
Harishwar 21 days ago
what is most important topic in maths for entrance of iit ?
Although balanced study is recommended, the following sections tend to be more scoring: PHYSICS 1. Mechanics 2. Fluidics 3. Electrostatics 4. Electromagnetism & EM Waves 5. Nuclear...
Amit Shekhar 2 months ago
Hi, CO-ORDINATE:- straight line, circle, locus. ALGEBRA:- complex no.,qudratic equation,probability,a.p.,g.p. CACULUS:-LIMIT,CONTINUTY,integration,application of calculus. Trigonometry all...
Yash Baheti 2 months ago
Dear vardaan You can post your question here in discussion forom .and you will get detail solution here by AskIITians Experts. But if you want to join online doubt removal clases then you...
Badiuddin askIITians.ismu Expert 4 years ago
Respected sir/madam,Ihave just passed 10 and is now in class 11.I have taken PCM in choice of subjects .i have the doubts in chemistry which are as follows:a)firstly ,please tell me the way...
varun singh one year ago
Who holds the world record for highest individual score in the history of woman's test cricket?
Hyderabad's 19-year-old vice-captain Mithali Raj made record by scoring the highest individual score in women's Test cricket to guide the Indian eves to a mammoth total. In the second and...
Vijay Luxmi Askiitiansexpert 5 years ago
why the large ship can float but a steel needle sinks in the water ?
Archimedes' principleindicates that the upwardbuoyant forcethat is exerted on a body immersed in afluid, whether fully or partially submerged, is equal to theweightof the fluid that the...
Ravi 11 days ago
View all Questions »