Mastering Complex Numbers

What is (3 + 4i) + (1 + 2i)?

• 5+7i

• 5 + 5i

• 4 + 6i

• 2 + 3i

Calculate (5 + 6i) - (2 + 3i).

• 2 + 9i

• 7 + 3i

• 3 + 6i

• 3 + 3i

Find the product of (2 + 3i) and (4 + 5i).

• 6 + 7i

• -1 + 15i

• 8 - 3i

• -7 + 22i

What is (6 + 8i) ÷ (2 + 4i)?

• 1 + 2i

• 2.2 - 0.4i

• 3 - 1i

• 4 + 3i

Convert the complex number 1 + i to polar form.

• 1 + 1i

• √2(cos(3π/4) + i sin(3π/4))

• 2(cos(π/2) + i sin(π/2))

• √2(cos(π/4) + i sin(π/4))

Add the complex numbers (7 - 2i) and (3 + 5i).

• 6 + 7i

• 5 + 3i

• 10 - 2i

• 10 + 3i

Subtract (4 + 3i) from (10 + 2i).

• 5 + 1i

• 6 - 1i

• 7 - 2i

• 10 + 3i

Multiply (1 - i) by (2 + 3i).

• 6 - i

• -1 + 4i

• 5 + i

• 3 + 2i

Divide (5 + 5i) by (1 + i).

• 5

• -5

• 0

• 10

Convert the complex number -3 + 4i to polar form.

• 4(cos(θ) + i sin(θ)), where θ = π/2

• 5(cos(θ) + i sin(θ)), where θ = arctan(4/3)

• 5(cos(θ) + i sin(θ)), where θ = π - arctan(4/3)

• 3(cos(θ) + i sin(θ)), where θ = 0