Find the value of 3 squareroot 1 iSolutionWe know that 1i c

Solution

We know that 1-i can be written as sqrt(1^2 +1^2) *e^(cos2*pi/4 - sin2*pi/4) in polar form

This is same as = sqrt(2) e^-(i*pi/4)

Since 1-i=sqrt(2)e^-(i*pi/4)

Taking the cube root of this:

(1-i)^1/3 = 2^1/6(e^-i*pi/12)

This is the answer: 2^1/6(e^-i*pi/12)

This can be also written as 1.084-0.291*i