document.write( "Question 1138177: Find the cube roots of 1 - i. Write your answers in polar form.
\n" ); document.write( "Make sure to show work. \n" ); document.write( "

Algebra.Com's Answer #756031 by greenestamps(13200) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( " $\"1-i+=+sqrt%282%29cis%28315%29\"$ or in polar form (sqrt(2),315)

\n" ); document.write( "

\n" ); document.write( "The three cube roots are equally spaced in increments of 360/3 = 120 degrees, so the three cube roots of 1-i are

\n" ); document.write( " $\"2%5E%281%2F6%29cis%28105%29\"$ = (2^(1/6),105)
\n" ); document.write( " $\"2%5E%281%2F6%29cis%28225%29\"$ = (2^(1/6),225)
\n" ); document.write( " $\"2%5E%281%2F6%29cis%28345%29\"$ = (2^(1/6),345) \n" ); document.write( "

\n" );