Complex Numbers and Conjugates

What is the result of multiplying (2 - 3i) by its conjugate?

• 1

• -1

• 13

• -13

Rationalize the denominator of the expression (6 - i) / (1 + i) and express in standard form.

• 5 - 7i/2

• 5 + 7i/2

• 3 - 5i/2

• 3 + 5i/2

Rationalize the denominator by the conjugate and simplify the expression (3 + 2i) / (4 - i).

• 10/17 + 11i/17

• 10/17 - 11i/17

• 14/17 + 11i/17

• 14/17 - 11i/17

What is the result of multiplying (1 + 2i) by its conjugate?

• 1

• -1

• 5

• -5

Find the conjugate of the complex number 2 - 3i.

• 2 + 3i

• -2 + 3i

• -2 - 3i

• 3i - 2

Rationalize the denominator by the conjugate and simplify the expression (3 + 2i) / (1 - i).

• 1 + i

• 1 - i

• 2 + i

• 2 - i

What is the conjugate of (-5+3i)?

• (3i)

• (5-3i)

• (-5-3i)

• (3-5i)

What is the result of multiplying (3 - 4i) by its conjugate?

• 1

• -1

• 25

• -25

What is the result of multiplying (4 - 5i) by its conjugate?

• 1

• -1

• 41

• -41

Divide the complex numbers (3 + 4i) by (1 - 2i) and express the result in standard form.

• 2 + i

• 1 + 2i

• -1 + 2i

• 11/5 + 2/5i