SOLUTION: (((square root of 2)/2)+((square root of 2)/2)*i)squared

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: (((square root of 2)/2)+((square root of 2)/2)*i)squared      Log On


   

Question 22757: (((square root of 2)/2)+((square root of 2)/2)*i)squared
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
%28%28%28sqrt%282%29%29%2F2%29%2B%28%28sqrt%282%29%29%2F2%29i%29%5E2 Use the FOIL method.
%282%2F4%29%2B+%282%2F4%29i+%2B+%282%2F4%29i+%2B+%282%2F4%29i%5E2 Simplify and use i%5E2+=+-1
%282%2F4%29-%282%2F4%29%2B2%282%2F4%29i
%284%2F4%29i+=+i
Answer is: i