Find the conjugate of (6 + 5i )²

2

(a)

Find the conjugate and modulus of the complex number (3 - 2i) (3 + 2i) (1 + i).

2

(a)

Find the conjugate and modulus of the complex number \(\frac { 2+3i }{ 3+2i } \)

2

(a)

Express the complex number in the form a+ib: 3(7+i7)+i(7+i7)

2

(a)

Express the complex number in the form a+ib: \(\left( \frac { 1 }{ 5 } +\frac { 2 }{ 5 } i \right) -\left( 4+\frac { 5 }{ 2 } i \right) \)

2

(a)

Express each of these complex numbers in the form a + ib: \(\frac { 5+4i }{ 4+5i } \)

2

(a)

Express each of these complex numbers in the form a + ib:\(\frac { (3-2i(2+3i) }{ (1+2i)(2-i) } \)

2

(a)

Express each of these complex numbers in the form a + ib: \(\frac { 1 }{ 1-cos\theta +2i\quad sin\quad \theta } \)

2

(a)

Simplify:\(\frac { (1+i)^{ 2 } }{ 1-i^{ 3 } } \)

2

(a)

Find the modulus and argument of the following complex number \(\frac { -16 }{ 1+\sqrt { 3 } i } \)

2

(a)

Convert the complex number in polar form 1+i tan∝

2

(a)

Express \((-\sqrt 3+\sqrt {-2})\)\((2\sqrt 3-4i)\) in the form a + ib.

2

(a)

Express (2 - 3i)^-3 in the standard form a + ib.

2

(a)

Find the square root of the following complex numbers.
-2i

2

(a)

Express (-3i) (i)\(\left( -\frac { 1 }{ 4 } i \right) ^{ 3 }\) in the form a+ib

2

(a)