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 ▸

Express cos(4x) in terms of powers of cos(x)


Find, without using a calculator, integral of 1/sqrt(15+2x-x^2) dx, between 3 and 5, giving your answer as a multiple of pi


What does it mean if two matrices are said to be commutative?


Sketch the locus of z on an Argand diagram if arg[(z-5)/(z-3)] = π/6