Download Pre-Calculus Name: 2-4 Complex Numbers

Pre-Calculus
Name:
2-4 Complex Numbers
Find the real numbers a and b so that:
1. a + bi = -9 + 4i
2. (a-1)+(b+3)I = 5 + 8i
Write each complex number in standard form:
3. 5 + √−16
4. 2 - √−9
5. – 5i + 𝑖 2
6. (√−75)2
Perform the following operations and write the answer in standard form:
7. (4 + i) – (7 – 2i)
8. (-1 + √−8)+(8 - √−50)
10. √−6√−2
11. (1 + i)(3 – 2i)
9. (7 + √−18)+(3 + √−32)
12. (6 – 2i)(2 – 3i)
Multiply the complex number by its conjugate:
13. 4 + 3i
14. 7 – 5i
Write the quotient in standard form (use conjugates)
15.
6
𝑖
Simplify:
16.
2
4−5𝑖
17.
2+𝑖
2−𝑖
18.
8−7𝑖
1−2𝑖
19. -6i3 + i2
20. 4i2 – 2i3