Convert the following complex number into its polar representation 2+2i

To write 2+2i into polar form we proceed as follows:

2+2i

simplifying the above we get

2 (1+i)

dividing through above through by √2

=2*√2 (1/√2+i/√2)

but

1/√2=cos (π/4) = sin (π/4)

thus our expression will be:

=2√2 (cos (π/4) + isin (π/4))