What is the conjugate of ?

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- Aug 15th 2012, 03:01 AMviccalHow do you find the conjugate of -2/i^3?
What is the conjugate of ?

- Aug 15th 2012, 03:14 AMa tutorRe: How do you find the conjugate of -2/i^3?
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- Aug 15th 2012, 06:39 AMHallsofIvyRe: How do you find the conjugate of -2/i^3?
To find the

**conjugate**of any complex number, replace i with -i. You could "rationalize the denominator" first, as "a tutor" did:

and then its conjugate is . Or you can immediately write that the conjugate is . If you were then to multiply both numerator and denominator by i you would again get . - Aug 15th 2012, 06:12 PMDevenoRe: How do you find the conjugate of -2/i^3?
aw...i was gonna say find its minimal real polynomial, and grab the other root :P

- Aug 18th 2012, 07:11 PMviccalRe: How do you find the conjugate of -2/i^3?
What's the reason you multiplied the numerator and denominator by i?

- Aug 18th 2012, 08:09 PMskeeterRe: How do you find the conjugate of -2/i^3?