SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex numbers.

SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex numbers.

𝒙𝟐 = 𝟗

𝒙𝟐 = 𝟗

𝒙 = ±𝟑

𝒙𝟐 = −𝟗

𝒙𝟐 = −𝟗

𝑵𝒐 𝒓𝒆𝒂𝒍 𝑺𝒐𝒍𝒖𝒕𝒊𝒐𝒏

SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex numbers.

SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex numbers.

SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex numbers.

𝟓𝒊 𝟔𝒊

−𝟒 𝟓 = 𝟐𝒊 𝟓 −𝟒 𝟑 = 𝟐𝒊 𝟑 −𝟏 𝟕 = 𝒊 𝟕 −𝟏 𝟓 = 𝒊 𝟓

−𝟏 𝟏𝟎 - −𝟐𝟓 𝟏𝟎

𝒊 𝟏𝟎 - 𝟓𝒊 𝟏𝟎

−𝟒𝒊 𝟏𝟎

−𝟐𝟓 𝟐 - −𝟏 𝟐 + −𝟏𝟎𝟎 𝟐

𝟓𝒊 𝟐 - 𝒊 𝟐 + 𝟏𝟎𝒊 𝟐

𝟏𝟒𝒊 𝟐

SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex numbers.

SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex numbers.

𝟏 𝟐

𝟑

SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex numbers.

𝟏𝟕

𝟒 = 4.25 𝒊𝟏 = 𝒊

𝟐𝟐

𝟒 = 4.5 𝒊𝟐 = −𝟏

𝟖𝟑

𝟒 = 20.75 𝒊𝟑 = −𝒊

𝟏𝟎𝟎

𝟒 = 25. 𝒊𝟎 = 𝟏

SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex numbers.

𝟏𝟒

𝟒 = 3.5

= 𝒊𝟐 = −𝟏 𝟕

𝟒 = 1.75

= 𝒊𝟑 = −𝒊 = 𝟒𝒊𝟐

= −𝟒

= 4(-1)

= 5(-1) + 2i0 = -5 + 2(1)

= -5 + 2

= −𝟑

𝟑𝟗

𝟒 = 6.75

= 𝒊𝟑 = −𝒊

SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex numbers.

𝟓

𝟒 = 1.25

𝟕

𝟒 = 1.75

2i1 + 7i3

2i + 7(-i)

2i - 7i

= −𝟓𝒊

SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex numbers.

SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex numbers.

SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex numbers.

SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex numbers.

-1+ 5i

= -1+ 5i

-5 - 2i

= -5 - 2i

-2 + 2i + (-3 - 4i) -2 + 2i - (3 + 4i)

SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex numbers.

2+ 3i

SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex numbers.

2+ 5i

= 2+ 5i 3 + 2i + (1 - i)

4+ i

= 4+ i

3 + 2i - (-1 + i)

SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex numbers.

SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex numbers.

(3, -4)