Question 1036150
*[tex \large \frac{3+3i}{5+2i}]


Multiply top and bottom by the complex conjugate of the denominator (5-2i):


*[tex \large = \frac{(3+3i)(5-2i)}{(5+2i)(5-2i)}]


*[tex \large = \frac{15 - 6i + 15i + 6}{25 + 4}]


*[tex \large = \frac{21 + 9i}{29}]


*[tex \large = \frac{21}{29} + \frac{9}{29}i]