Question

Solve (i+1)^21 without a calculator. I know the answer, but forgot how to do it.

Answer 1

hint:
we can write this:
\[\Large 1 + i = \sqrt 2 {e^{i\pi /4}}\]

Answer 2

Forgot to note: This question is supposed to be for Algebra II level math, I don't recall using that when I did it

Answer 3

sorry!

Answer 4

My mistake :)

Answer 5

sincerely I don't know how to get the requested value without using the polar form of a complex number

Answer 6

That's alright, thank you anyway

Answer 7

ok! :)