Rationalize the denominator of square root of negative four over open parentheses 7 minus 3 i close parentheses plus open parentheses 2 plus 5 i.

Rationalize the denominator of square root of negative four over open parentheses 7 minus 3 i close parentheses plus open parentheses 2 plus 5 i.

A. quantity of negative 16 plus 18 i over 7

B. quantity of 16 plus 18 i over 145

C. quantity of 4 plus 18 i over 85

D. quantity of negative 4 plus 18 i over 77

Why don't  you write your expressions in mathematical form? Something like this:-4/[(7-3i)+(2+5i)]=?

Is that what you meant in your first sentence? Write them ALL like that.

I guess you have something like this???

sqrt(-4)  / [ (7 - 3i) + ( 2 + 5i)]       simplify

2i / [ 9 + 2i]        multiply top and bottom  by the conjugte of  9 + 2i  =   9 - 2i

[2i] [ 9 -2i] / [ 81 - 4i^2] =

[-4i^2 + 18i]  / [ 85]  =

[ 4 + 18i] /  [85]

Looks like C is the likely candidate.......