Day 16 - Imaginary Numbers/Simplifying Negative Square Roots

Evaluate.

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.CN.A.3

CCSS.HSN.CN.B.4

CCSS.HSN.CN.B.5

CCSS.HSN.CN.C.7

CCSS.HSN.CN.C.8

CCSS.HSN.CN.C.9

What does  $i$  equal?

•  $\sqrt{-1}$  

•  $-1$  

•  $-i$  

•  $1$  

Tags

CCSS.HSN.CN.A.1

Simplify 
 $\sqrt{-49}$  

•  $49i$  

•  $-49i$  

•  $7i$  

•  $-7i$  

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

Simplify using the imaginary number  $i$  
 $\sqrt{-20}$  

•  $10i$  

•  $-10i$  

•  $i\sqrt{20}$  

•  $-i\sqrt{20}$  

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

• 2i√6

• 8i√3

• -2√6

• -2i√6

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.RN.A.2

Simplify -√-8

• -i√8
• -2i√2
• 2i√2
• -8i

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.RN.A.2

Solve.  
x² +12 = 5

• x = ± 49
• x = ± i√7
• x = ± √7
• x = ± 3.5i

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.CN.C.7

Solve by taking square roots:

k² - 6 = -50

• k = ±4i√11

• k = ±4√11

• k = ±2i√11

• k = ±2√11

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

CCSS.HSN.CN.A.1

CCSS.HSN.CN.C.7

Solve by taking square roots.

x² = -121

• ± 11

• ± 11i

• ± 12

• 11i

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.A.1

CCSS.HSN.CN.C.7

Solve by taking square roots.

2x² - 8 =100

• x = ±√54

• x = ±3√6

• x = ± 9√6

• x = ±2√27

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4