" (iv) "((3-i)^(2))/(2+i)

Convert the following in the form of (a+ib) : (i) (1+i)^(4) (ii) (-3+(1)/(2)i)^(3) (iii) (1-i)(3+4i) (iv) (1+i)(1+ 2i)(1+ 3i) (v) (3+5i)/(6-i) (vi) ((2+3i)^(2))/(2+i) (vii) ((1+ i)(2+i))/((3+i)) (viii) (2-i)^(-3)

Convert the following in the form of (a+ib) : (i) (1+i)^(4) (ii) (-3+(1)/(2)i)^(3) (iii) (1-i)(3+4i) (iv) (1+i)(1+ 2i)(1+ 3i) (v) (3+5i)/(6-i) (vi) ((2+3i)^(2))/(2+i) (vii) ((1+ i)(2+i))/((3+i)) (viii) (2-i)^(-3)

Express the following in the form a+ bi ((3-i)^(2))/(2+i)

Express the following in the form a+ bi ((4i^(3)-i)^(2))/(2i+1)

The modulus of ((2+3i)^(2))/(2+i) is

The modulus of ((2+3i)^(2))/(2+i) is

Find the conjugates of the following complex number: ((3-i)^(2))/(2+i)

Show that (i)" "{((3+2i))/((2-3i))+((3-2i))/((2+3i))} is purely real, (ii)" "{((sqrt(7)+i sqrt(3)))/((sqrt(7)-i sqrt(3)))+((sqrt(7)- i sqrt(3)))/((sqrt(7) + i sqrt(3)))} is purely real.

Convert ((2+3i)^(2))/(2-i) in the form of a+ib and find its conjugate.

Convert ((2+3i)^(2))/(2-i) in the form of a+ib and find its conjugate.