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DO NOW
DO NOW
Evaluate each expression below
Evaluate each expression below
DO NOW
DO NOW
Evaluate each expression below
Evaluate each expression below
LEARNING TARGET
LEARNING TARGET
I can define and use the imaginary unit, i.
I can define and use the imaginary unit, i.
I can add, subtract, and multiply imaginary numbers.
I can add, subtract, and multiply imaginary numbers.
I DO
I DO
How do you take the square root of a negative number?
How do you take the square root of a negative number?
let's try some!
let's try some!
sqrt(-100) sqrt(-2)
sqrt(-72) sqrt(75)
Quick note about adding and subtracting complex numbers:
This is just like combining like terms. Combine the real numbers with the real numbers. Combine the imaginary numbers with the imaginary numbers.
(3 + 4i) + (6 - 2i)
How do you multiply imaginary numbers?
How do you multiply imaginary numbers?
You treat i a lot like a variable. The only difference is that i^2 = -1
You treat i a lot like a variable. The only difference is that i^2 = -1
Let's do some examples:
Let's do some examples:
- i * i =
- (6i)^2 =
- 3i * 7i =
- -4i * 2i =
- 7i * 5 =
- (4 - 2i)(7 + 3i) =
WE DO
WE DO
YOU DO
YOU DO
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