Please help with Algebra 2?

Question

1. Simplify:
5/3+2i
2. The area of a room with length "3-2i" and width "4i" is

3+i

8+12i

-8+12i

-8i2+12i

3. The conjugate of the complex number "3+2i" is
3-2i

3+2i

-2i

3


Thanks so much!!

Answer 1

Question 2 and 3 appear answered so the answer to question 1:

5/(3+2i) * 1 = 5/(3+2i) * (3-2i)/(3-2i)
=5(3-2i)/13
=(15-10i)/13

Answer 2

ok question one... simplifying that expression... to be honest i dont know what you mean... isnt that its simplest form?

2) not sure you can have a room of length 3 - 2i...
but if you are going by the normal convention of multiplying length by width then

3*4i - 2i*4i = 12i + 8 as the area so thats the second answer you wrote...

3) the complex conjugate is the number with -1 * the imaginary part...

so the answer is 3 - 2i

Answer 3

2. (3-2i) x 4i = 8 + 12i

3. Complex conjugate is 3 - 2i