Rationalize the denominator of sqrt of - 49 over (7-2i) - (4+9i)

To rationalize the denominator of the expression will be as follows;

-49/[ (7-2i) - (4+9i)

=-49/[7-4-2i+9i]

=-49/[3+7i]

to rationalize the denominator we multiply both the numerator and the denominator by [3-7i]

hence;

-49/[3+7i]*[3-7i]/[3-7i]

=[-49 (3-7i] / (9+49]

= (-147+343i) / 58

The answer is (-147+343i) / 58