MII 5.2.4 Imaginary and Complex Numbers

 $\sqrt{-1}$  is an imaginary number noted as i.  If this is the case, what is  $\sqrt{-1}\cdot\sqrt{-1}$  

• 1

• -1

• i

• none of these.

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

What does i² =  ?

• 1
• -1
• √-1
• √1

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

 $\sqrt{-4}$  can be broken into:  $\sqrt{4}\cdot\sqrt{-1}$  

• True

• False

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

 $\sqrt{-9}$  can be broken into which of the following:

•  $\sqrt{9}\cdot\sqrt{-1}$  

•  $\sqrt{-9}\cdot\sqrt{-1}$  

•  $\sqrt{-3}\cdot\sqrt{-3}$  

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.RN.A.2

 $\sqrt{-16}$ 
 $=\sqrt{16}\cdot\sqrt{-1}$  
 $=4\sqrt{-1}$  

• True.

• False.

• It is impossible to tell.

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

 $\sqrt{-25}$ 
 $=\sqrt{25}\cdot\sqrt{-1}$  
 $=5\sqrt{-1}$  
 $=5i$  

• True.

• False.

• It is impossible to tell.

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

 $\sqrt{-36}$ 
 $=\sqrt{36}\cdot\sqrt{-1}$  
 $=6\sqrt{-1}$  
 $=6i$  

• True.

• False.

• It is impossible to tell.

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

Simplify: √-49

• 7
• 7i
• -7i
• -7

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

Simplify: √-100

• 10i
• -10i
• 10
• -10

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.RN.A.2

Simplify: √-25

• 5
• -5
• 5i
• -5i

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2