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Algebra 2
Section 5.5 Complex Numbers and Roots
HW 4.2
Name __________________________
1. Simplify each of the following by using the imaginary number i.
a.
 16
b.
 32
c. 3  9
d.  3  100
Simplify each expression. No powers of i greater than 1 are allowed.
2. (2 + i) + (-3 + 4i)
3. (4 + 3i) - (6 – 7i)
4. (10 + 3i) + (2 + 5i)
5. (8i)(4i)(-9i)
6. (8 – i) – (-3 + 4i)
7. 2i(5 – 3i)
8. –5(1 + 2i) + 3i(3 – 4i)
9. (3 + 2i)(4 + i)
10. (-2 + 3i)(6 + 5i)
e.
 72
_____11. Which expression is equivalent to (2 – 5i) – (2 + 5i)?
A. 10i
B. 4 + 10i
C. -10i
D. 4 – 10i
_____12. Which expression is equivalent to (-5 + 3i)2?
A. 16 – 15i
B. 16 – 30i
C. 34 – 15i
D. 34 – 30i
Solve by the square root method.
13. 3x2 – 4 = -7
14. -x2 + 17 = 63
Solve each of the following using the quadratic formula. Remember, your solutions should not have any
decimals, and complex solutions should be written in terms of i.
15. 3x2 + 8x – 2 = -9
16. x2 – 4x + 5 = 0