" (ii) "(5-12i)/(-3+4i)

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

Find the modulus of ((3+2i) (1+i) (2+3i))/((3+4i) (4+5i))

Find: (i) (12)/((3)/(4))

Find the square roots of : ((2+3i)/(5-4i)+(2-3i)/(5+4i)) .

Express the following in the form of a+ib (2+3i)/(5-4i)+(2-3i)/(5+4i)

Find the square roots of : ((2+3i)/(5-4i)+(2-3i)/(5+4i)) .

Express (3- 2i)/(5 + 4i) + (3 + 2i)/(5 - 4i) in the form of a + ib

Find the square roots of the following (i) 4+3i (ii) -5+12i (iii) 8-15i (iv) 7-24i(" where " , i=sqrt(-1))