" (vii) "(2i)^(3)

(1-2i)^(-3)=?

Prove that the following complex numbers are purely real: (i) ((2+3i)/(3+4i))((2-3i)/(3-4i)) (ii) ((3+2i)/(2-3i))((3-2i)/(2+3i))

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

Prove that the following complex number is purely real: (i) ((2+3i)/(3+4i))((2-3i)/(3-4i))

Simplify : (i+i^(2)+i^(3)+i^(4))/(1+i)

(-2-i/3)^3

Show that complex numbers (2+i3), (2-i3), (3-i2), (3+i2) are concyclic in the argand plane

If, ((2 + 2i)/(2 - 2i))^(3) + ((2 - 2i)/(2 + 2i))^(3) = alpha+ib , then alpha and b are

Reduce ((1)/(1+2i)+(3)/(1-i))((3-2i)/(1+3i)) to the form (a + ib).