Can someone please help me?
Find the fifth roots of 243(cos 300° + i sin 300°).

Question

Can someone please help me? 
Find the fifth roots of 243(cos 300° + i sin 300°).

anonymous · Answer

yeah it is much easier than you think

anonymous · Answer

first of all $243=3^5$ so $\sqrt[5]{243}=3$ , we will use the 3 in each answer
now all you need to do is divide $300\div 5=60$ so one answer is 
$$3\left(\cos(60)+i\sin(60)\right)$$

anonymous · Answer

guess we lost @Module9

anonymous · Answer

Sorry, I started working on it and just took off. I think I got it now. Thanks so much for your help.

anonymous · Answer

you still have more work to do, you have to go around the circle again and then divide by 5 again

anonymous · Answer

or you can divide the circle up in to five equal parts with one of them at $(\cos(60),\sin(60))$

anonymous · Answer

I know, I have to do it for each root. my original issue was that the first answer was coming out all wrong, and I realized I had the theorem written down wrong.

anonymous · Answer

oh ok,
good luck

anonymous · Answer

@satellite73 can you keep explaining this?