" 10.Prove that "[((3+2i)/(2-5i))+((3-2i)/(2+5i))]" is rational."

Prove that: (i) [((3+2i)/(2-5i))+((3-2i)/(2+5i))] is rational (ii) [((2-3i)/(3-4i))((2+3i)/(3+4i))] is real.

(3+5i)/(2-3i)

Find (2+4i)(3-2i)+(-3i)(5i)

(2/(1-i) + 3/(1+i))((2+3i)/(4+5i)) is equal to

(2/(1-i) + 3/(1+i))((2+3i)/(4+5i)) is equal to

(3+5i)(2+6i)

Evaluate (2+3i)(4-5i).

Evaluate (2-7i)/(3+5i)

Prove that (sqrt(3)/(2) +(i)/(2))^(5) + (sqrt(3)/(2) -(i)/(2))^(5) is purely real.

Evaluate (4+5i)(2-3i)