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```LEARNING TARGET:
What is a complex Conjugate?
Complex Conjugates: for any complex number π + ππ there is a complex conjugate
_______________
Example: 3 + 7π and 3 β 7π are complex conjugates
Name the conjugate of the following complex numbers:
a.) 6 + 3π
b.) 10 β 4π
c.) βπ
How do I divide Complex Numbers?
Dividing Complex Numbers
Just like with radicals, we donβt want imaginary numbers in the denominator. We have to fix
that.
Multiply the top and bottom of the fraction by the __________________ of the
_______________________.
How do I solve these problems?
Examples:
a.)
5+3π
To solve the problem, I will start by multiplying it with the numerator
and the denominator with the ______________ of the denominator.
1β2π
The conjugate of 1 β 2π is 1 +
2
numerator
5+3π
×
Éiy
1β2π
=
on
STEPI
Lookfor the
contuaateor
Denominator
=
=
b.)
2β7π
1+π
2β7π
1+π
×
=
simplify
=
=
c.)
3+11π
3+11π
β1β2π
β1β2π
×
=
=
=
(
)(
)
(
)(
)
simplify
```
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