Find and plot all the roots for $\sqrt[4]{-8 + 8\sqrt{3}j}$
Added by Hannah J.
Close
Step 1
To find the polar form of a complex number, we can use the following formulas: r = sqrt(a^2 + b^2) θ = arctan(b/a) In this case, a = 8 and b = 8√3. r = sqrt(8^2 + (8√3)^2) = sqrt(64 + 192) = sqrt(256) = 16 θ = arctan((8√3)/8) = arctan(√3) = π/3 So, the polar Show more…
Show all steps
Your feedback will help us improve your experience
Darshan Maheshwari and 88 other Physics 102 Electricity and Magnetism educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find all the values of the indicated roots and plot them. $$ \sqrt[3]{-8} $$
COMPLEX NUMBERS
Powers and roots of complex numbers
Find the indicated roots and sketch the answers on the complex plane. Cube roots of 8
Polar Coordinates, Complex Numbers, and Moving Objects
Complex Numbers in Polar Form
Find all the values of the indicated roots and plot them. $$ \sqrt[6]{64} $$
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD