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

Related Further Mathematics A Level answers

All answers ▸

How do i figure out if integrals are improper or not and how do i know which limit is undefined?


solve the equation 4cos^2(x) -15sin(x) = 13


Find the volume of revolution about the x-axis of the curve y=1/sqrt(x^2+2x+2) for 0<x<1


How do I use proof by induction?