Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 11-science Answered

square root of negative i end root
Asked by chawlahimanshu420 | 26 Aug, 2018, 10:44: AM
answered-by-expert Expert Answer
begin mathsize 16px style square root of negative straight i end root space equals space square root of negative 1 end root square root of straight i space equals space straight i square root of straight i So space we space need space the space square space root space of space straight i. space That space will space be space some space complex space number space so space that colon space space open parentheses straight a space plus space bi close parentheses squared space equals space straight i straight a squared space plus left parenthesis 2 ab right parenthesis straight i space minus space straight b squared space minus space straight i space equals space 0 because space the space real space and space imadinary space part space both space equal space zero comma space we space can space say colon straight a squared space minus space straight b squared space equals space 0..... left parenthesis 1 right parenthesis 2 ab space minus space 1 equals space 0 Solving space this space second space equation space or space straight a colon straight a space equals space fraction numerator 1 over denominator 2 straight b end fraction Put space the space value space of space straight a space in space left parenthesis 1 right parenthesis straight a squared space minus space straight b squared space equals space 0 rightwards double arrow open parentheses space fraction numerator 1 over denominator 2 straight b end fraction close parentheses squared space minus space straight b squared equals space 0 rightwards double arrow straight b space equals space fraction numerator 1 over denominator square root of 2 end fraction space and space straight a space equals space fraction numerator square root of 2 over denominator 2 end fraction Therefore comma space square root of negative straight i end root space equals space straight i open parentheses fraction numerator square root of 2 over denominator 2 end fraction plus space fraction numerator straight i square root of 2 over denominator 2 end fraction close parentheses equals space minus fraction numerator square root of 2 over denominator 2 end fraction plus space fraction numerator straight i square root of 2 over denominator 2 end fraction Because space minus open parentheses negative fraction numerator square root of 2 over denominator 2 end fraction plus space fraction numerator straight i square root of 2 over denominator 2 end fraction close parentheses space also space satisfies space left parenthesis straight a space plus space bi right parenthesis squared equals space minus straight i comma space it apostrophe straight s space also space an space answer. end style
Answered by Yasmeen Khan | 26 Aug, 2018, 11:48: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 11-science - Maths
program to find the minimum element from a list of element along with its index in the list
question image
Asked by sampabarman328 | 18 Apr, 2024, 01:20: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
find square root of 7+24i
Asked by tahikpreet0001 | 17 Apr, 2024, 06:41: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
if α, ß, Γ be the roots of the equation x^3+px^2+qx+r=0 then find the value of (α+ß-3Γ)(ß+Γ-3α)(α+Γ-3ß)
Asked by nitinkrjsr07082008 | 15 Apr, 2024, 11:32: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
ug
question image
Asked by nityaboragam | 11 Apr, 2024, 12:14: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
total number of three letter words formed using all the letters of the word "SHINE" is
Asked by kanhaparashar17 | 04 Apr, 2024, 12:55: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
find 6th term from and of the (x-1/x)⁹
Asked by dseno1741 | 29 Mar, 2024, 08:47: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
in exercise 1.3 1st q ii part abc is not subset of bcd but two elements are common i.e bc but in 2 question same exercise i part ab is subset of  bca how ??  
Asked by parvanipatil09 | 29 Mar, 2024, 10:12: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
find the value of x so that the vectors are (2,7,5) ,(3,-3,6) ,(x,2,-5) may be coplanar
Asked by rishithatelaprolu84 | 29 Mar, 2024, 08:32: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
binomial doubt
question image
Asked by Manjeet | 23 Mar, 2024, 09:41: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
pair
question image
Asked by rambabum3372 | 21 Mar, 2024, 04:51: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×