Question 561791
{{{ ( 4 + 10i ) / ( 2i ) }}}
Multiply top and bottom by {{{ -i }}}
{{{ ( (-i)/(-i) )*(( 4 + 10i ) / (2i) ) }}}
{{{ ( -4i + 10*i*(-i) ) / ((2i)*(-i)) }}}
{{{ ( 10 - 4i ) / 2 }}}
{{{ 5 - 2i }}}
check answer:
{{{ ( 4 + 10i ) / ( 2i ) = 5 - 2i }}}
{{{ 4 + 10i = (2i)*( 5 - 2i ) }}}
{{{ 4 + 10i = 10i - 4i^2 }}}
{{{ 4 + 10i = 4 + 10i }}}
OK