1. CONJUGATES
Section 1-3
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1.3 - Conjugates

2. REVIEW
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1.3 - Conjugates

3. DEFINITIONS
Conjugate is where the bottom is multiplied by its opposite sign
REMEMBER:
If there is not a sign on the bottom, it does not need a sign
If there is a sign, multiply by its opposite sign
ABSOLUTELY NO i’s on the bottom
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1.3 - Conjugates

4. no i’s on the bottom; no sign, no change
EXAMPLE 1
Simplify
no i’s on the bottom; no sign, no change
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1.3 - Conjugates

5. EXAMPLE 2
Simplify
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1.3 - Conjugates

6. YOUR TURN
Simplify
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1.3 - Conjugates

7. EXAMPLE 3
Simplify
To get rid of the imaginary, multiply the whole problem with the conjugate
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1.3 - Conjugates

8. EXAMPLE 4
Simplify
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1.3 - Conjugates

9. YOUR TURN
Simplify
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1.3 - Conjugates

10. The signs of i i1 = i i5 = i i2 = - 1 i6 = - 1 i3 = - i
Notice the pattern?
i4 = 1
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1.3 - Conjugates

11. 1 -i i -1 The signs of i i1 = i i2 = - 1 i3 = - i i4 = 1 i5 = i
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1.3 - Conjugates

12. EXAMPLE 5
Simplify:
i256
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1.3 - Conjugates

13. EXAMPLE 6
Simplify:
i41
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1.3 - Conjugates

14. EXAMPLE 7
Simplify:
i75
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1.3 - Conjugates

15. YOUR TURN
Simplify:
i457
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1.3 - Conjugates

16. ASSIGNMENT
Worksheet
DUE: BLOCK DAY
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1.3 - Conjugates