Simplifying Square Roots with Imaginary Numbers

Solve.   x² = √-36

• x = ± 6
• x = 6i
• x = ± 6i
• x = i√6

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve.    x² = √16

• x = ± 2
• x = ± 4
• x = 4i
• x = 8

Tags

CCSS.8.EE.A.2

Solve    x² = √-25

• x = -5
• x = ± 5i
• x = √5
• x = ± 5

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve.    x² = √27

• x = ± 3√3
• x = ± 9√3
• x = 3i√3
• x = 3√9

Tags

CCSS.8.EE.A.2

Solve.   x² = √-40

• x = 4i√10
• x = ± 2√10
• x = ± 2i√10
• x = ± 10i√2

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve.  x² = √-45

• x = ± 3√5
• x = 9i√5
• x = ± 9√5
• x = ± 3i√5

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve.     x² = √75

• x = ± 3√5
• x = ± 5√3
• x = ± 25√3
• x = ± 3i√5

Tags

CCSS.8.EE.A.2

Solve.   x² = √-90

• x = 3√10
• x = 9i√10
• x = ± 3√10
• x = ± 3i√10

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve.    x² = √36

• x = ± 6
• x = 6
• x = ±√6
• x = 6i

Tags

CCSS.8.EE.A.2

Solve.
  x² = √-100

• x = 10i
• x = ± 10i
• x = ±10
• x = √10

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7