Find the 4th roots 6

Express 6 in the exponential form of (6*exp(2πin)), where n is an integertake the fourth root of this, remembering that taking the fourth root is taking to the power of 1/4, and by rules of indices the expression in the exponent must be divided by 4This gives (61/4 *exp(πin/2))Taking n = 0,1,2,3 gives four distinct roots, any larger n gives repeated roots

NP
Answered by Nishil P. Further Mathematics tutor

3189 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

The function f is defined for x > 0 by f (x) = x^1n x. Obtain an expression for f ′ (x).


Differentiate: y=x^x


Find the general solution of: y'' + 4y' + 13y = sin(x)


How do you deal with 3 simultaneous equations? (Struggling with Q7 of AQA specimen paper 1)


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning