Question

Please help me do this math problem. It is open ended with no answer choices to choose from, and I am sooo confused about how to do it. The attachment shows the problem.

Answer 1

Use Moivre Formula to find cube roots of 64(cos219+isin219)

Cubic roots =∛[64(cos219+isin219)] = [64(cos219+isin219)]^(1/3)

= 4[(cos219+isin219)]^(1/3)=4[cos(219)/3+isin219/3)]=
= 1.169 + 3.82 i