SOLUTION: Find a complex number a+bi such that radical i is equal to a+bi.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson  -> Lesson -> SOLUTION: Find a complex number a+bi such that radical i is equal to a+bi.      Log On


   

Question 230237: Find a complex number a+bi such that radical i is equal to a+bi.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


We know that and , therefore we can say that:



But we know from Euler's Formula that:



Hence:



Taking the square root of both sides:



But



Finally:



after rationalizing the denominators.

John