Question

What are the fourth roots of sqrt 3 + i

Answer 1

i mean \[\LARGE \sqrt[4]{\sqrt 3 + i}\]

Answer 2

is that the question?

Answer 3

I don't think so, lol. It's asking for roots in the complex plain.

Humiliated yourself again :)

Answer 4

@lgbasallote is right,...:)

Answer 5

it just asks what are the fourth roots of \[\sqrt{3} + i\]

Answer 6

put it in trigonometric form first

Answer 7

Convert
\[\sqrt3+i\]

Into ->

\[|v|(\cos \theta +i \sin \theta)\]
or
\[|v|cis \]

Answer 8

Once it is converted, use demvoirs thereorm in order to do solve.

Answer 9

I've always found \(\text{cis}(x)\) to be such a lame idea.

Answer 10

\[\sqrt[4]{2cosPi/6+isinPi/6}\]

Answer 11

It's only useful cause you can effectively use demoices therom.

Answer 12

that's the point

Answer 13

Define "effectively"

Answer 14

I have always use deMoivre's theorem without \(\text{cis}(x)\).

Answer 15

Well, go ahead ^_^

@myko

z^4=2cos(pi/6)+isin(pi/6)

Now use rules of demoivre's theorm.

Answer 16

http://www.wolframalpha.com/input/?i=fourth+root+of+%282cos%28pi%2F6%29%2Bisin+%28pi%2F6%29