Answer to Question #52950 in Complex Analysis for tinnnm

Question

does multiplication of two imaginary numbers imaginary or real? if i multiply 2i and 3i then it is = -6 which is real .if √-3 and √-2 are multiplied then it gives - √6 which is real . but if i do the same thing like this √-3 * √-2 =√{(-3)*(-2)} =√6 which is also real . so why the ans is -√6 . we know multiplication of two complex numbers is a complex number . if i write 2i as (0+2i) and 3i as (0+3i) and then multiply these two should come a complex number as definition . but why it's real?