Question

Find the real and imaginary parts of root of I powers of root of I

Answer 1

Answer:

real part of I = 0

imaginary part of I = 1

powers of root of I are I , -1 , -I , 1

Step-by-step explanation:

an complex number is expressed as z=a+ib ,

where a is real part and b is imaginary part of given number

so , I = 0 + I×1

powers of root of I are

we know that I=√(-1)

so I = I

I² = (√(-1))² = -1

I³= I × I² = I × (-1) = -I

I⁴= I² × I² = (-1)×(-1) = 1