Mastering Complex Conjugates

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

Find the conjugate of the complex number 7 - 5i.

• 7 + 5i

• -7 + 5i

• -7 - 5i

• 5i - 7

Rationalize the denominator of the expression (4 + i) / (3 - 2i).

• 10/13 + 11i/13

• 12/13 + i

• 10/13 - 11i/13

• 12/13 - i

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

• 1

• -1

• 13

• -13

Rationalize the denominator and simplify the expression (5 - 4i) / (2i).

• 2 + 2.5i

• -2 + 2.5i

• -2 - 2.5i

• 2 - 2.5i

Find the conjugate of the complex number -3 + (4/5)i.

• -3 - (4/5)i

• 3 - (4/5)i

• 3 + (4/5)i

• -3 + (4/5)i

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

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

• 1

• i

• 0

• -1

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 conjugate of the complex number (1/2) - (3/4)i?

• (1/2) + (3/4)i

• -(1/2) + (3/4)i

• (1/2) - (3/4)i

• -(1/2) - (3/4)i