In Exercises 37–52, perform the indicated operations and write the result in standard form. __ (−3 − √−7)²
Table of contents
- 0. Review of College Algebra4h 43m
- 1. Measuring Angles40m
- 2. Trigonometric Functions on Right Triangles2h 5m
- 3. Unit Circle1h 19m
- 4. Graphing Trigonometric Functions1h 19m
- 5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
- 6. Trigonometric Identities and More Equations2h 34m
- 7. Non-Right Triangles1h 38m
- 8. Vectors2h 25m
- 9. Polar Equations2h 5m
- 10. Parametric Equations1h 6m
- 11. Graphing Complex Numbers1h 7m
- OLD 1. Angles and the Trigonometric Functions Coming soon
- OLD 2. Trigonometric Functions graphs, Inverse Trigonometric Functions Coming soon
- OLD 3. Trigonometric Identities and Equations Coming soon
- OLD 4. Laws of Sines, Cosines and Vectors Coming soon
- OLD 5. Complex Numbers, Polar Coordinates and Parametric Equations Coming soon
- NEW (not used) 7. Laws of Sines, Cosines and Vectors Coming soon
- NEW (not used) 8. Vectors Coming soon
- NEW(not used) 9. Polar equations Coming soon
- NEW (not used) 11. Graphing Complex Numbers Coming soon
0. Review of College Algebra
Complex Numbers
Multiple Choice
Write the complex number in standard form.
39+−16
A
3+4i
B
9+16i
C
3+34i
D
313i
0 Comments
Verified step by step guidance1
Identify the complex number given in the problem: \( \frac{9 + \sqrt{-16}}{3} \).
Recognize that \( \sqrt{-16} \) can be expressed using the imaginary unit \( i \), where \( \sqrt{-16} = 4i \).
Substitute \( \sqrt{-16} \) with \( 4i \) in the expression: \( \frac{9 + 4i}{3} \).
Separate the real and imaginary parts of the complex number: \( \frac{9}{3} + \frac{4i}{3} \).
Simplify each part to write the complex number in standard form: \( 3 + \frac{4}{3}i \).
Related Videos
Related Practice
Textbook Question

