# How do you find the fifth root of #32(cos((5pi)/6)+isin((5pi)/6))#?

##### 1 Answer

Feb 23, 2017

Fifth root of

#### Explanation:

According to DeMoivre's theorem if

then

It has also been proved that it is true for all

Hence, if

=

=

In fact you should find five fifth roots, using

As may be seen the above root is obtained by putting **other roots can be obtained** by putting