Operations Of Radicals With Imaginary
Numbers
We can still perform operations like before with imaginary
numbers.
**Remember that i·i = i2 = -1 **
**When writing simplified expressions, constants are
written before the imaginary numbers**
Simplify each of the following expressions.
1. -4 + 3i - 7 + 6i
2. 3 - 4i + 7i - 15
4. (4 - 6i) - (3 + 4i)
5. (i)
8. 3(4 - 3i)
2
6. (4i)
9. -2(6 - 2i) + 2 - 7i
3. (6i - 3) + (12 - i)
2
7. (-3i)
2
10. (2 - 3i)(3 + 2i)
Number pairs of the form (a + bi) and (a - bi) are complex conjugates.
You must multiply by the complex conjugate to remove imaginary
numbers of the from (a + bi) or (a - bi) from the denominator.
Give the conjugates of the following expressions.
1) 8 - 4i
2) 6 + i
3) 3 + 6i
4)
8 - 2i
Simplify the following expressions. Give
your answer in standard form.
5)
2 - 11i
i
6)
7 - 9i
-2i
7)
9 + 12i
3i
8)
2 + 3i
1 - 4i
9)
4 - 5i
3 + 2i
10)
-2 + 7i
5 - 3i