Imaginary Numbers/Complex Numbers

Simplify:

(10+ 15i) - (48 - 30i)

• 58 - 45i

• 58 - 15i

• -38 - 15i

• -38 + 45i

Tags

CCSS.HSN.CN.A.2

Multiply:

(1 − 2i)(6 + 5i)

• 16 − 7i

• -16 + 7i

• -16 − 7i

• 16 + 7i

Tags

CCSS.HSN.CN.A.2

What is the conjugate of the following...

 $7-2i$  

• 7 - 2i

• -7 - 2i

• -7 + 2i

• 7 + 2i

Tags

CCSS.HSN.CN.A.3

Rationalize the denominator and simplify completely.

•  $\frac{7-13i}{26}$  
  

•  $\frac{1-i}{2}$  

•  $\frac{13-13i}{26-10i}$  
  

•  $\frac{1+i}{2}$  
  

Tags

CCSS.HSN.CN.A.3

i¹²⁹

• -i
• i
• 1
• -1

Tags

CCSS.HSN.CN.A.2

Simplify √-4

• 2i
• -2i
• 2
• 4i

Simplify √-23

• -√23
• 23i
• 23
• i√23

Calculate: 
(1 − 2i) + (-4 + 2i)

• -3
• -3 − 4i
• 5 − 4i
• 5

Tags

CCSS.HSN.CN.A.2

Calculate:

• -3i / 5
• 3i²/ 5i
• -3i²/ -5i
• 3i / 5i²

Tags

CCSS.HSN.CN.A.3

Calculate:

• -3/4 − 1/4i
• 3/4 + 1/4i
• -3/4 + 1/4i
• 3/4 − 1/4i

Tags

CCSS.HSN.CN.A.3