Complex Numbers

Complex Numbers

Multiple Choice

Simplify the following radical: √32

• 3√2
• 4√8
• 16√2
• 4√2

Multiple Choice

Simplify √-28

• -√28
• -2i√7
• 2i√7
• 28i

Multiple Choice

Simplify -√-48

• 4i√3
• -4i√3
• i√48
• -48i

Multiple Choice

Simplify √-23

• -√23
• 23i
• 23
• i√23

Multiple Choice

√-36

• 6
• -6
• -6i
• 6i

Multiple Choice

-3√80a⁷

• 4a³√5a
• -12a³√5a
• -3a³√5a
• -48a³√5a

Operations with complex numbers

Adding and Subtracting

Multiple Choice

Simplify: 
(10+ 15i) - (48 - 30i)

• 58 - 45i
• 58 - 15i
• -38 - 15i
• -38 + 45i

Multiple Choice

Find the sum.
(5-2i) + (-7+8i)

• -2+6i
• 12+6i
• -35-16i²
• -35 -16i

Multiple Choice

Simplify: 
(10+ 15i) - (48 - 30i)

• 58 - 45i
• 58 - 15i
• -38 - 15i
• -38 + 45i

Multiplying complex numbers

 $i\cdot i=i^2=-1$  

Multiple Choice

Simplify:
-3i(4 + 2i)

• 6 - 12i
• 6 + 12i
• -12i - 6i²
• -12i + 6i²

Multiple Choice

Simplify:
(2 - 3i)(5 + 4i)

• 22 - 7i
• 22 + 7i
• 22 - 7i²
• 22 + 7i²

Multiple Choice

Simplify
(-6 - 2i)²

• 32
• 36-4i
• 36+24i
• 32+24i

Multiple Choice

(4-5i)(4+5i)

• 41
• -9
• 41+40i
• -9+40i