write in rectangular form
(square root 2-i) 4th power
Do you mean ?
We need to rationalize this before we can work with it, so:
=
=
=
So we need to know what is.
Note that .
So
Dividing the two equations gives:
So
rad.
Squaring the two equations and adding gives:
.
Thus .
By DeMoivre's theorem:
So
=
=
= <-- These are apparently exact, though I don't know how to prove it.
So finally:
=
-Dan