A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
how would i find the 5th roots of 2i? (leave the answers in polar form and the angle in degrees)
thank you!
anonymous
 4 years ago
how would i find the 5th roots of 2i? (leave the answers in polar form and the angle in degrees) thank you!

This Question is Closed

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.1First, you need to change 2i into polar form. Can you show me what you get when it's in polar form?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Is it 2cis0? I'm not entirely sure.

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.1On a graph, dw:1353369315067:dw2i is located there. The angle from the positive real axis, to the negative imaginary axis, is \(3\pi/2\). So the polar form should be \[2\text{ cis} (3\pi/2)\]or\[\Large 2e^{\frac{3i\pi}{2}}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Oh! Okay, I see! I'm going to work it out with the information you have just given me. Thank you!

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.1As a hint, it's a lot easier to take roots of \(2e^{\frac{3i\pi}{2}}\)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0So far, I have 2cis3pi/10 and 2cis7pi/10. Am I on the right track?

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.1Remember that you need to have \[\Large \sqrt[5]{2}\]out in front of those, but otherwise, I think those are correct.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.