" x) "(2+3i)(2-3i)

Express the following in the form of a + ib . (i) ( 1/2 + 3i)^(2) (ii) ( 2+ 3i) ( 2-3i)

Express the following in the form of a + ib . (i) ( 1/2 + 3i)^(2) (ii) ( 2+ 3i) ( 2-3i)

Find the modulus of the complex number (2 + 3i)/(2 - 3i)

Express the following in the form of (a+ib), a,b in R, i= sqrt (-1) State the values of a and b: (2+3i)(2-3i)

Express the following in the form of a + ib, where a, b in R , i = sqrt-1 . State the value of a and b. (2 + 3i) (2 - 3i)

Express the following in the form of (a+ib), a,b in R, i= sqrt (-1) State the values of a and b: ( sqrt 5 +2 sqrt (-4) )+(1- sqrt (-9) )+(2+3i)(2-3i)

Express the following in the form of a + ib, where a, b in R , i = sqrt-1 . State the value of a and b. (-sqrt(5) + 2sqrt(-4)) + (1 - (sqrt-9)) + (2 + 3i) (2 - 3i)

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

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))